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Groenewald, Nico Johannes

Author ID: groenewald.nico-johannes Recent zbMATH articles by "Groenewald, Nico Johannes"
Published as: Groenewald, N. J.; Groenewald, Nico J.; Groenewald, Nico; Groenewald, Nico Johannes

Publications by Year

Citations contained in zbMATH Open

65 Publications have been cited 255 times in 148 Documents Cited by Year
Different prime ideals in near-rings. Zbl 0728.16026
Groenewald, N. J.
31
1991
A Kurosh-Amitsur prime radical for near-rings. Zbl 0706.16025
Booth, G. L.; Groenewald, N. J.; Veldsman, S.
30
1990
Certain classes of ideals in group rings. II. Zbl 0453.16006
Groenewald, N. J.; Heyman, G. A. P.
17
1981
The completely prime radical in near-rings. Zbl 0655.16025
Groenewald, N. J.
11
1988
On primeness in matrix near-rings. Zbl 0697.16036
Booth, G. L.; Groenewald, N. J.
8
1991
Strongly equiprime near-rings. Zbl 0756.16012
Booth, G. L.; Groenewald, N. J.; Veldsman, S.
7
1991
Minimal and maximal ideals in rings with involution. Zbl 0884.16021
Birkenmeier, Gary F.; Groenewald, Nico J.; Heatherly, Henry E.
7
1997
Weakly prime and weakly completely prime ideals of noncommutative rings. Zbl 1455.16019
Groenewald, Nico
7
2020
Strongly prime near-rings. Zbl 0682.16028
Groenewald, N. J.
6
1988
Strongly prime group rings. Zbl 0428.16013
Groenewald, N. J.
6
1979
Radical and semisimple classes in categories. Zbl 0474.18008
Buys, A.; Groenewald, N. J.; Veldsman, S.
6
1981
Completely prime submodules. Zbl 1329.16005
Groenewald, Nico J.; Ssevviiri, David
6
2013
On 2-absorbing modules over noncommutative rings. Zbl 1406.16001
Groenewald, N. J.; Nguyen, Bac T.
6
2019
Polynomial regularities in structural matrix rings. Zbl 0833.16027
Groenewald, N. J.; van Wyk, L.
5
1994
On weakly 2-absorbing ideals of non-commutative rings. Zbl 1488.16049
Groenewald, Nico
5
2021
On 2-absorbing ideals of noncommutative rings. Zbl 1426.16002
Groenewald, N. J.
5
2018
Radicals of \(\Gamma\)-rings. Zbl 0563.16023
Groenewald, N. J.
5
1984
Special radicals of near-rings. Zbl 0770.16017
Booth, G. L.; Groenewald, N. J.
4
1992
A note on extensions of Baer and P. P.-rings. Zbl 0549.20051
Groenewald, N. J.
4
1983
Equiprime \(\Gamma\)-near-rings. Zbl 0748.16020
Booth, G. L.; Groenewald, N. J.
4
1991
Different prime \(R\)-ideals. Zbl 1210.16043
Juglal, S.; Groenewald, N. J.; Enoch Lee, K. S.
4
2010
Köthe’s upper nil radical for modules. Zbl 1295.16013
Groenewald, N. J.; Ssevviiri, D.
4
2013
Strongly prime near-rings. II. Zbl 0682.16029
Groenewald, N. J.
3
1989
On radicals of gamma-near-rings. Zbl 0703.16024
Booth, G. L.; Groenewald, N. J.
3
1990
A generalization of 2-primal near-rings. Zbl 1080.16044
Argac, N.; Groenewald, N. J.
3
2004
A characterization of semi-prime ideals in near-rings. Zbl 0521.16030
Groenewald, N. J.
3
1983
Polynomial near-rings in \(k\) indeterminates. Zbl 1080.16049
Lee, Enoch K. S.; Groenewald, Nico J.
3
2004
Note on the completely prime radical in near-rings. Zbl 0622.16015
Groenewald, N. J.
3
1987
2-primal modules. Zbl 1276.16010
Groenewald, Nico J.; Ssevviiri, David
3
2013
Generalization of nilpotency of ring elements to module elements. Zbl 1295.16011
Ssevviiri, David; Groenewald, Nico
3
2014
On strongly prime near-rings. Zbl 0942.16052
Booth, G. L.; Groenewald, N. J.
2
1998
Weakly and strongly regular near-rings. Zbl 1078.16055
Argac, N.; Groenewald, N. J.
2
2005
On class pairs and radicals. Zbl 1004.16018
Birkenmeier, G. F.; Groenewald, N. J.; Olivier, W. A.
2
2001
Special radicals of near-ring modules. Zbl 0779.16019
Booth, G. L.; Groenewald, N. J.
2
1992
Certain classes of ideals in group rings. Zbl 0419.16006
Groenewald, N. J.; Schutte, H. J.
2
1980
A note on the units of semigroup rings. Zbl 0464.20051
Groenewald, N. J.
2
1981
Primeness in near-rings with multiplicative semi-group satisfying ‘the three identities’. Zbl 1201.16035
Atagün, A. O.; Groenewald, N. J.
2
2009
On radical ideals of non-commutative rings. Zbl 1530.16017
Groenewald, Nico
2
2023
On rings generating supernilpotent and special atoms. Zbl 1089.16017
France-Jackson, H.; Groenewald, N. J.
1
2005
A link between two characterisations of complete matrix rings. Zbl 0841.16032
Groenewald, N. J.; Van Wyk, L.
1
1995
Different prime ideals in near-rings. II. Zbl 0849.16040
Booth, G. L.; Groenewald, N. J.
1
1996
On prime one-sided ideals, bi-ideals and quasi-ideals of a gamma ring. Zbl 0788.16032
Booth, G. L.; Groenewald, N. J.
1
1992
Equiprime left ideals and equiprime \(N\)-groups of a near-ring. Zbl 0791.16029
Booth, Geoffrey L.; Groenewald, Nico J.
1
1992
Units of the group ring. Zbl 0448.16011
Groenewald, N. J.
1
1980
On the Brown-McCoy radical of group rings. Zbl 0457.16004
Groenewald, N. J.
1
1980
On strongly prime and superprime gamma rings. Zbl 0689.16017
Booth, G. L.; Groenewald, N. J.
1
1988
Almost nilpotent gamma rings. Zbl 0729.16031
Booth, G. L.; Groenewald, N. J.
1
1990
Special radicals of \(\Omega\)-groups. Zbl 0888.16030
Booth, Geoffrey L.; Groenewald, Nico J.
1
1997
A general type of regularity for \(\Gamma\)-rings. Zbl 0755.16015
Booth, G. L.; Groenewald, N. J.; Olivier, W. A.
1
1991
A generalization of semi prime ideals in \(\Gamma\)-rings. Zbl 0755.16016
Groenewald, N. J.; Olivier, W. A.
1
1991
Classical completely prime submodules. Zbl 1362.16003
Groenewald, Nico J.; Ssevviiri, David
1
2016
Lattices of radicals of near-rings. Zbl 0993.16032
Birkenmeier, G. F.; Booth, G. L.; Groenewald, N. J.
1
2001
On weakly prime and weakly 2-absorbing modules over non-commutative rings. Zbl 1483.16010
Groenewald, Nico J.
1
2021
Prime ideals in group near-rings. Zbl 1217.16039
Groenewald, N. J.; Juglal, S.; Meyer, J. H.
1
2008
On generalized semigroup near-rings. Zbl 1257.16033
Groenewald, Nico J.; Enoch Lee, K. S.
1
2012
Another characterization of the upper nil radical. Zbl 1399.16053
Groenewald, N. J.
1
2016
A note on units and divisors of zero in group rings. Zbl 0516.16004
Groenewald, N. J.; Schutte, H. J.
1
1982
A generalization of regularities in near-rings. Zbl 0671.16017
Groenewald, N. J.; Potgieter, P. C.
1
1989
Special radicals in rings with involution. Zbl 1259.16019
Booth, G. L.; Groenewald, N. J.
1
1996
On weakly radical ideals of non-commutative rings. Zbl 1533.16032
Groenewald, Nico
1
2023
On 2-absorbing and weakly 2-absorbing principally right primary ideals. Zbl 1499.16045
Groenewald, N. J.
1
2021
On completely 2-absorbing ideals of \(N\)-groups. Zbl 1495.16041
Sahoo, Taptee; Deepak Shetty, M.; Groenewald, N. J.; Harikrishnan, P. K.; Kuncham, S. P.
1
2021
On strongly semiprime modules and submodules submodules. Zbl 1443.16008
Dinh, Hai Q.; Bac, Nguyen Trong; Groenewald, Nico Johannes; Ngoc, Dong Thi Hong
1
2018
On 2-primal modules. Zbl 1452.16022
Bac, Nguyen T.; Dinh, Hai Q.; Groenewald, N. J.
1
2018
1-absorbing prime ideals and weakly 1-absorbing prime ideals in noncommutative rings. Zbl 07787006
Groenewald, Nico
1
2023
On radical ideals of non-commutative rings. Zbl 1530.16017
Groenewald, Nico
2
2023
On weakly radical ideals of non-commutative rings. Zbl 1533.16032
Groenewald, Nico
1
2023
1-absorbing prime ideals and weakly 1-absorbing prime ideals in noncommutative rings. Zbl 07787006
Groenewald, Nico
1
2023
On weakly 2-absorbing ideals of non-commutative rings. Zbl 1488.16049
Groenewald, Nico
5
2021
On weakly prime and weakly 2-absorbing modules over non-commutative rings. Zbl 1483.16010
Groenewald, Nico J.
1
2021
On 2-absorbing and weakly 2-absorbing principally right primary ideals. Zbl 1499.16045
Groenewald, N. J.
1
2021
On completely 2-absorbing ideals of \(N\)-groups. Zbl 1495.16041
Sahoo, Taptee; Deepak Shetty, M.; Groenewald, N. J.; Harikrishnan, P. K.; Kuncham, S. P.
1
2021
Weakly prime and weakly completely prime ideals of noncommutative rings. Zbl 1455.16019
Groenewald, Nico
7
2020
On 2-absorbing modules over noncommutative rings. Zbl 1406.16001
Groenewald, N. J.; Nguyen, Bac T.
6
2019
On 2-absorbing ideals of noncommutative rings. Zbl 1426.16002
Groenewald, N. J.
5
2018
On strongly semiprime modules and submodules submodules. Zbl 1443.16008
Dinh, Hai Q.; Bac, Nguyen Trong; Groenewald, Nico Johannes; Ngoc, Dong Thi Hong
1
2018
On 2-primal modules. Zbl 1452.16022
Bac, Nguyen T.; Dinh, Hai Q.; Groenewald, N. J.
1
2018
Classical completely prime submodules. Zbl 1362.16003
Groenewald, Nico J.; Ssevviiri, David
1
2016
Another characterization of the upper nil radical. Zbl 1399.16053
Groenewald, N. J.
1
2016
Generalization of nilpotency of ring elements to module elements. Zbl 1295.16011
Ssevviiri, David; Groenewald, Nico
3
2014
Completely prime submodules. Zbl 1329.16005
Groenewald, Nico J.; Ssevviiri, David
6
2013
Köthe’s upper nil radical for modules. Zbl 1295.16013
Groenewald, N. J.; Ssevviiri, D.
4
2013
2-primal modules. Zbl 1276.16010
Groenewald, Nico J.; Ssevviiri, David
3
2013
On generalized semigroup near-rings. Zbl 1257.16033
Groenewald, Nico J.; Enoch Lee, K. S.
1
2012
Different prime \(R\)-ideals. Zbl 1210.16043
Juglal, S.; Groenewald, N. J.; Enoch Lee, K. S.
4
2010
Primeness in near-rings with multiplicative semi-group satisfying ‘the three identities’. Zbl 1201.16035
Atagün, A. O.; Groenewald, N. J.
2
2009
Prime ideals in group near-rings. Zbl 1217.16039
Groenewald, N. J.; Juglal, S.; Meyer, J. H.
1
2008
Weakly and strongly regular near-rings. Zbl 1078.16055
Argac, N.; Groenewald, N. J.
2
2005
On rings generating supernilpotent and special atoms. Zbl 1089.16017
France-Jackson, H.; Groenewald, N. J.
1
2005
A generalization of 2-primal near-rings. Zbl 1080.16044
Argac, N.; Groenewald, N. J.
3
2004
Polynomial near-rings in \(k\) indeterminates. Zbl 1080.16049
Lee, Enoch K. S.; Groenewald, Nico J.
3
2004
On class pairs and radicals. Zbl 1004.16018
Birkenmeier, G. F.; Groenewald, N. J.; Olivier, W. A.
2
2001
Lattices of radicals of near-rings. Zbl 0993.16032
Birkenmeier, G. F.; Booth, G. L.; Groenewald, N. J.
1
2001
On strongly prime near-rings. Zbl 0942.16052
Booth, G. L.; Groenewald, N. J.
2
1998
Minimal and maximal ideals in rings with involution. Zbl 0884.16021
Birkenmeier, Gary F.; Groenewald, Nico J.; Heatherly, Henry E.
7
1997
Special radicals of \(\Omega\)-groups. Zbl 0888.16030
Booth, Geoffrey L.; Groenewald, Nico J.
1
1997
Different prime ideals in near-rings. II. Zbl 0849.16040
Booth, G. L.; Groenewald, N. J.
1
1996
Special radicals in rings with involution. Zbl 1259.16019
Booth, G. L.; Groenewald, N. J.
1
1996
A link between two characterisations of complete matrix rings. Zbl 0841.16032
Groenewald, N. J.; Van Wyk, L.
1
1995
Polynomial regularities in structural matrix rings. Zbl 0833.16027
Groenewald, N. J.; van Wyk, L.
5
1994
Special radicals of near-rings. Zbl 0770.16017
Booth, G. L.; Groenewald, N. J.
4
1992
Special radicals of near-ring modules. Zbl 0779.16019
Booth, G. L.; Groenewald, N. J.
2
1992
On prime one-sided ideals, bi-ideals and quasi-ideals of a gamma ring. Zbl 0788.16032
Booth, G. L.; Groenewald, N. J.
1
1992
Equiprime left ideals and equiprime \(N\)-groups of a near-ring. Zbl 0791.16029
Booth, Geoffrey L.; Groenewald, Nico J.
1
1992
Different prime ideals in near-rings. Zbl 0728.16026
Groenewald, N. J.
31
1991
On primeness in matrix near-rings. Zbl 0697.16036
Booth, G. L.; Groenewald, N. J.
8
1991
Strongly equiprime near-rings. Zbl 0756.16012
Booth, G. L.; Groenewald, N. J.; Veldsman, S.
7
1991
Equiprime \(\Gamma\)-near-rings. Zbl 0748.16020
Booth, G. L.; Groenewald, N. J.
4
1991
A general type of regularity for \(\Gamma\)-rings. Zbl 0755.16015
Booth, G. L.; Groenewald, N. J.; Olivier, W. A.
1
1991
A generalization of semi prime ideals in \(\Gamma\)-rings. Zbl 0755.16016
Groenewald, N. J.; Olivier, W. A.
1
1991
A Kurosh-Amitsur prime radical for near-rings. Zbl 0706.16025
Booth, G. L.; Groenewald, N. J.; Veldsman, S.
30
1990
On radicals of gamma-near-rings. Zbl 0703.16024
Booth, G. L.; Groenewald, N. J.
3
1990
Almost nilpotent gamma rings. Zbl 0729.16031
Booth, G. L.; Groenewald, N. J.
1
1990
Strongly prime near-rings. II. Zbl 0682.16029
Groenewald, N. J.
3
1989
A generalization of regularities in near-rings. Zbl 0671.16017
Groenewald, N. J.; Potgieter, P. C.
1
1989
The completely prime radical in near-rings. Zbl 0655.16025
Groenewald, N. J.
11
1988
Strongly prime near-rings. Zbl 0682.16028
Groenewald, N. J.
6
1988
On strongly prime and superprime gamma rings. Zbl 0689.16017
Booth, G. L.; Groenewald, N. J.
1
1988
Note on the completely prime radical in near-rings. Zbl 0622.16015
Groenewald, N. J.
3
1987
Radicals of \(\Gamma\)-rings. Zbl 0563.16023
Groenewald, N. J.
5
1984
A note on extensions of Baer and P. P.-rings. Zbl 0549.20051
Groenewald, N. J.
4
1983
A characterization of semi-prime ideals in near-rings. Zbl 0521.16030
Groenewald, N. J.
3
1983
A note on units and divisors of zero in group rings. Zbl 0516.16004
Groenewald, N. J.; Schutte, H. J.
1
1982
Certain classes of ideals in group rings. II. Zbl 0453.16006
Groenewald, N. J.; Heyman, G. A. P.
17
1981
Radical and semisimple classes in categories. Zbl 0474.18008
Buys, A.; Groenewald, N. J.; Veldsman, S.
6
1981
A note on the units of semigroup rings. Zbl 0464.20051
Groenewald, N. J.
2
1981
Certain classes of ideals in group rings. Zbl 0419.16006
Groenewald, N. J.; Schutte, H. J.
2
1980
Units of the group ring. Zbl 0448.16011
Groenewald, N. J.
1
1980
On the Brown-McCoy radical of group rings. Zbl 0457.16004
Groenewald, N. J.
1
1980
Strongly prime group rings. Zbl 0428.16013
Groenewald, N. J.
6
1979
all top 5

Cited by 148 Authors

35 Groenewald, Nico Johannes
16 Kuncham, Syam Prasad
15 Booth, Geoffrey L.
14 Kedukodi, Babushri Srinivas
12 Veldsman, Stefan
5 Birkenmeier, Gary Francis
5 Ssevviiri, David
4 Bhavanari, Satyanarayana
4 Juglal, S.
4 Lee, Enoch K. S.
4 Wiegandt, Richard
3 Beidar, Konstantin Igorevich
3 Boua, Abdelkarim
3 Heatherly, Henry E.
3 Koppula, Kavitha
3 Olivier, Werner A.
3 Panackal, Harikrishnan
3 Parmenter, Michael M.
3 Rao, Ravi Srinivasa
3 Sahoo, Tapatee
3 van Wyk, Leon
2 Abouhalaka, Alaa
2 Aburawash, Usama A.
2 Al-Shaalan, Khalid H.
2 Atagün, Akın Osman
2 Enoch Lee, K. S.
2 Ferrero, Miguel A.
2 Fong, Yuen
2 Godloza, L.
2 Harikrishnan, Panackal
2 Heyman, G. A. P.
2 Jagadeesha, B.
2 Jespers, Eric
2 Khan, Waheed Ahmad
2 Kimuli, Philly Ivan
2 Koduru, Naga Koteswara Rao
2 Korrapati, Siva Prasad
2 Le Roux, Herman J.
2 Mason, Gordon
2 Mouhssine, Samir
2 Moussavi, Ahmad
2 Park, Jae Keol
2 Puczyłowski, Edmund Ryszard
2 Raftery, James G.
2 Shahidikia, Ali
2 Stewart, Patrick N.
2 Taouti, Abdelghani
2 Taşdemir, Funda
2 Ziembowski, Michał
1 Abulebda, Lamis J. M.
1 Ahmadi, Morteza
1 Ahmed, Ibrahim S.
1 Aishwarya, S. V.
1 Alhevaz, Abdollah
1 Altindis, Huseyin
1 Ansari, Nazeer
1 Argaç, Nurcan
1 Asaad, Samah H.
1 Bac, Nguyen Trong
1 Baeck, Jongwook
1 Balaba, Irina Nikolaevna
1 Bamunoba, Alex Samuel
1 Bhat, Vijay Kumar
1 Casciotti, Leonard
1 Celikel, Ece Yetkin
1 Chib, Kiran
1 Chinnaraj, P.
1 Cho, Yong Uk
1 Davvaz, Bijan
1 Deepak Shetty, M.
1 Dehkordi, Sohrab Ostadhadi
1 Dinh, Hai Quang
1 Eméry, Diékouam Fotso Luc
1 Facchini, Alberto
1 Farid, Kiran
1 Farzalipour, Farkhonde
1 Fındık, Şehmus
1 Finocchiaro, Carmelo Antonio
1 Gardner, Barry James
1 Ghiasvand, Peyman
1 Golestani, Nasser
1 Gran, Marino
1 Hartmann, Carsten
1 Hashemi, Ebrahim
1 Hong, Chan Yong
1 Javadi, Haimd Haj Seyyed
1 Javadi, Hamid Haj Seyyed
1 Joshi, Kanchan
1 Kaarli, Kalle
1 Kamacı, Hüseyin
1 Kamal, Ahmed A. M.
1 Ke, Wen-Fong
1 Kebiri, Omar
1 Kelarev, Andrei Vladimirovich
1 Kilaru, Jaya Lakshmi Narayana
1 Kim, Jin Yong
1 Kim, Nam Kyun
1 Krempa, Jan
1 Latyshev, Viktor Nikolaevich
1 Lewallen, John A.
...and 48 more Authors
all top 5

Cited in 58 Serials

21 Communications in Algebra
20 Quaestiones Mathematicae
7 Afrika Matematika
6 Algebra Colloquium
5 Acta Mathematica Hungarica
5 JP Journal of Algebra, Number Theory and Applications
4 Periodica Mathematica Hungarica
4 Journal of Pure and Applied Algebra
3 Beiträge zur Algebra und Geometrie
3 Journal of Algebra
3 Results in Mathematics
3 Soft Computing
3 Journal of Algebra and its Applications
3 International Electronic Journal of Algebra (IEJA)
3 Journal of Algebra and Related Topics
2 Rocky Mountain Journal of Mathematics
2 Kyungpook Mathematical Journal
2 Matematički Vesnik
2 Monatshefte für Mathematik
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Semigroup Forum
2 Journal of Discrete Mathematical Sciences & Cryptography
2 European Journal of Pure and Applied Mathematics
2 São Paulo Journal of Mathematical Sciences
2 Palestine Journal of Mathematics
2 Journal of Algebraic Systems
1 Bulletin of the Australian Mathematical Society
1 Indian Journal of Pure & Applied Mathematics
1 Archiv der Mathematik
1 Czechoslovak Mathematical Journal
1 Glasgow Mathematical Journal
1 Information Sciences
1 Journal of the Korean Mathematical Society
1 Journal of Soviet Mathematics
1 Mathematica Slovaca
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Siberian Mathematical Journal
1 Topology and its Applications
1 Note di Matematica
1 Bulletin of the Iranian Mathematical Society
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Journal of Mathematical Sciences (New York)
1 Buletinul Academiei de Științe a Republicii Moldova. Matematica
1 Arab Journal of Mathematical Sciences
1 Communications of the Korean Mathematical Society
1 Quasigroups and Related Systems
1 Missouri Journal of Mathematical Sciences
1 Thai Journal of Mathematics
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Mediterranean Journal of Mathematics
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Asian-European Journal of Mathematics
1 Acta Universitatis Sapientiae. Mathematica
1 Arabian Journal for Science and Engineering
1 Journal of Mathematics
1 Open Mathematics
1 AIMS Mathematics

Citations by Year