Found 378 Documents (Results 1–100)
An injective-envelope-based characterization of distributive modules over commutative Noetherian rings. (English) Zbl 1537.13034
Reviewer: T. Tamizh Chelvam (Tirunelveli)
A necessary and sufficient condition for a direct sum of modules to be distributive. (English) Zbl 1539.13026
Reviewer: Tiberiu Dumitrescu (Bucureşti)
EKFN-modules. (English) Zbl 1543.13011
Reviewer: Ali Moradzadeh-Dehkordi (Isfahan)
Direct sum decompositions of projective and injective modules into virtually uniserial modules. (English) Zbl 1510.16002
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 4, Paper No. 146, 11 p. (2022).
Reviewer: Mohammad Javad Nikmehr (Tehran)
Virtually homo-uniserial modules and rings. (English) Zbl 1490.16008
Reviewer: François Couchot (Caen)
Covering classes and uniserial modules. (English) Zbl 1469.16045
Reviewer: Jebrel M. Habeb (Irbid)
Centrally essential rings. (English) Zbl 1453.16037
Rings over which cyclic modules are almost self-injective. (English) Zbl 1451.16002
Srivastava, Ashish K. (ed.) et al., Categorical, homological and combinatorial methods in algebra. AMS special session in honor of S. K. Jain’s 80th birthday, Ohio State University, Columbus, Ohio, March 16–18, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 751, 329-339 (2020).
Reviewer: Phillip Schultz (Perth)
Relations between endomorphism rings, injectivity, surjectivity and uniserial modules. (English) Zbl 1446.16045
Reviewer: Phillip Schultz (Perth)
Virtually uniserial modules and rings. (English) Zbl 1433.16004
Reviewer: Phillip Schultz (Perth)
Semilocal categories and modules with semilocal endomorphism rings. (English) Zbl 1444.18002
Progress in Mathematics 331. Cham: Birkhäuser (ISBN 978-3-030-23283-2/hbk; 978-3-030-23284-9/ebook). xvi, 463 p. (2019).
Reviewer: Constantin Năstăsescu (Bucureşti)
Counting submodules of a module over a Noetherian commutative ring. (English) Zbl 1422.13011
Reviewer: Frieda Theron (Potchefstroom)
Prime uniserial modules and rings. (English) Zbl 1420.13012
Reviewer: Radoslav M. Dimitrić (New York)
Direct sums of completely almost self-injective modules. (English) Zbl 1398.16006
López-Permouth, Sergio R. (ed.) et al., Advances in rings and modules. Dedicated to Bruno J. Müller. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3555-4/pbk; 978-1-4704-4901-8/ebook). Contemporary Mathematics 715, 273-283 (2018).
On a category of extensions whose endomorphism rings have at most four maximal ideals. (English) Zbl 1398.16026
López-Permouth, Sergio R. (ed.) et al., Advances in rings and modules. Dedicated to Bruno J. Müller. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3555-4/pbk; 978-1-4704-4901-8/ebook). Contemporary Mathematics 715, 107-126 (2018).
On a category of chains of modules whose endomorphism rings have at most \(2n\) maximal ideals. (English) Zbl 1440.16006
On the Noetherian dimension of Artinian modules with homogeneous uniserial dimension. (English) Zbl 1402.16015
Commutative rings whose proper ideals are serial. (English) Zbl 1391.13047
Reviewer: A. Nikseresht (Shiraz)
Simple-direct-modules. (English) Zbl 1368.16008
Commun. Algebra 45, No. 8, 3643-3652 (2017); corrigendum ibid. 45, No. 12, 5262-5263 (2017).
Frobenius algebras. II: Tilted and Hochschild extension algebras. (English) Zbl 1378.16001
EMS Textbooks in Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-174-3/hbk; 978-3-03719-674-8/ebook). x, 619 p. (2017).
Reviewer: Jörg Feldvoss (Mobile)
MSC:
16-01
16G10
16G20
16G60
16G70
13E10
15A63
15A69
16D50
16D90
16D99
16E10
16E30
16E40
16S50
16S70
18A25
Serial group rings of finite groups. Sporadic simple groups and Suzuki groups. (English. Russian original) Zbl 1362.20005
J. Math. Sci., New York 219, No. 4, 539-552 (2016); translation from Zap. Nauchn. Semin. POMI 435, 73-94 (2015).
Reviewer: János Kurdics (Nyíregyháza)
Stacked decomposition theorem for modules over serial left Noetherian rings. (English. Russian original) Zbl 1354.16006
J. Math. Sci., New York 219, No. 4, 519-522 (2016); translation from Zap. Nauchn. Semin. POMI 435, 47-72 (2015).
Simple-direct-projective modules. (English) Zbl 1356.16003
Reviewer: J. K. Park (Pusan)
Retracted: On different notions of transitivity for QTAG-modules. (English) Zbl 1344.16007
Honam Math. J. 38, No. 2, 259-267 (2016); retraction ibid. 41, No. 3, 667 (2019).
Pure projective modules over chain domains with Krull dimension. (English) Zbl 1387.16007
Reviewer: Septimiu Crivei (Cluj-Napoca)
Retracted: On projection-invariant submodules of QTAG-modules. (English) Zbl 1338.16007
J. Egypt. Math. Soc. 24, No. 2, 156-159 (2016); retraction note ibid. 27, No. 1, Paper No. 41, 1 p. (2019).
Almost uniserial rings and modules. (English) Zbl 1341.16001
Reviewer: Veereshwar A. Hiremath (Dharwad)
Local duo rings whose finitely generated modules are direct sums of cyclics. (English) Zbl 1351.16021
On noncommutative FGC rings. (English) Zbl 1318.16005
On commutative rings with uniserial dimension. (English) Zbl 1317.13007
Reviewer: Frieda Theron (Potchefstroom)
Retracted: On strongly socle-regular QTAG-modules. (English) Zbl 1315.16013
Sci., Ser. A, Math. Sci. (N.S.) 25, 47-53 (2014); retracted ibid. 27, 99-101 (2016).
Retracted: On Ulm support in QTAG-modules. (English) Zbl 1315.16012
Sci., Ser. A, Math. Sci. (N.S.) 25, 9-15 (2014); retracted ibid. 27, 99-101 (2016).
On \(n\)-layered QTAG-modules. (English) Zbl 1309.16005
On the theorem of the primitive element with applications to the representation theory of associative and Lie algebras. (English) Zbl 1333.17007
On the coordinatization of primary Arguesian lattices of low geometric dimension. (English) Zbl 1314.06009
Reviewer: Horst Szambien (Garbsen)
Uniserial dimension of modules. (English) Zbl 1314.16013
Reviewer: Victor Petrogradsky (Brasilia)
On uniserial twisted group algebras of finite \(p\)-groups over a field of characteristic \(p\). (English) Zbl 1310.16020
Reviewer: János Kurdics (Nyíregyháza)
A construction of right Artinian right serial rings. (English) Zbl 1305.16016
Reviewer: Herbert Kupisch (Berlin)
Modules which are isomorphic to their factor modules. (English) Zbl 1266.13006
Reviewer: Siamak Yassemi (Tehran)
Some results on V-rings and weakly V-rings. (English) Zbl 1272.16003
Reviewer: Veereshwar A. Hiremath (Dharwad)
Abelian groups as UA-modules over their endomorphism ring. (English. Russian original) Zbl 1285.20057
Math. Notes 91, No. 6, 878-884 (2012); translation from Math. Zametki 91, No. 6, 934-941 (2012).
Pure projective modules over exceptional uniserial noncoherent rings. (English. Russian original) Zbl 1278.16002
J. Math. Sci., New York 187, No. 2, 157-168 (2012); translation from Fundam. Prikl. Mat. 17, No. 3, 67-84 (2012).
Reviewer: O. A. S. Karamzadeh (Ahvaz)
Retracted: Small homomorphisms and large submodules of QTAG-modules. (English) Zbl 1259.16005
Sci., Ser. A, Math. Sci. (N.S.) 23, 19-24 (2012); retracted ibid. 27, 99-101 (2016).
Retracted: On \(h\)-purifiable submodule of QTAG-module. (English) Zbl 1259.16006
Sci., Ser. A, Math. Sci. (N.S.) 22, 19-25 (2012); retracted ibid. 27, 99-101 (2016).
Module theory. Endomorphism rings and direct sum decompositions in some classes of modules. Reprint of the 1998 original. (English) Zbl 1273.16007
Modern Birkhäuser Classics. Basel: Birkhäuser (ISBN 978-3-0348-0302-1/pbk; 978-3-0348-0303-8/ebook). xiv, 281 p. (2012).
Completely integrally closed modules and rings. II. (English. Russian original) Zbl 1290.16006
J. Math. Sci., New York 177, No. 6, 937-941 (2011); translation from Fundam. Prikl. Mat. 16, No. 3, 237-243 (2010).
Rings over which all modules are completely integrally closed. (English. Russian original) Zbl 1251.16004
Discrete Math. Appl. 21, No. 4, 477-497 (2011); translation from Diskretn. Mat. 23, No. 3, 120-137 (2011).
Reviewer: Veereshwar A. Hiremath (Dharwad)
Frobenius algebras. I: Basic representation theory. (English) Zbl 1260.16001
EMS Textbooks in Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-102-6/hbk; 978-3-03719-602-1/ebook). xi, 650 p. (2011).
Reviewer: Jörg Feldvoss (Mobile)
Direct summands of direct sums of modules whose endomorphism rings have two maximal right ideals. (English) Zbl 1225.16001
Reviewer: Simion Sorin Breaz (Cluj-Napoca)
Hereditary Noetherian prime rings and idealizers. (English) Zbl 1246.16001
Mathematical Surveys and Monographs 174. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5350-4/hbk). iv, 228 p. (2011).
Reviewer: Günter Krause (Winnipeg)
Retracted: On semi \(h\)-pure submodules of QTAG-modules. (English) Zbl 1244.16005
Sci., Ser. A, Math. Sci. (N.S.) 20, 151-160 (2010); retracted ibid. 27, 99-101 (2016).
Retracted: On centres of \(h\)-purity in QTAG-modules. (English) Zbl 1244.16002
Sci., Ser. A, Math. Sci. (N.S.) 19, 83-90 (2010); retracted ibid. 27, 99-101 (2016).
Retracted: On almost locally \(h\)-pure QTAG-modules. (English) Zbl 1244.16004
Sci., Ser. A, Math. Sci. (N.S.) 19, 77-81 (2010); retracted ibid. 27, 99-101 (2016).
On quasi nil-injective modules. (Chinese. English summary) Zbl 1224.16011
MSC:
16D50
Direct sums of infinitely many kernels. (English) Zbl 1231.16002
Reviewer: Septimiu Crivei (Cluj-Napoca)
Quasi-isomorphism and some quasi-isomorphic invariants of QTAG-modules. (English) Zbl 1188.16002
Commun. Algebra 38, No. 2, 752-758 (2010); retraction note ibid. 45, No. 10, 4582 (2017).
MSC:
16D80
Retracted: Some characterizations of submodules of QTAG-modules. (English) Zbl 1221.16004
Sci., Ser. A, Math. Sci. (N.S.) 18, 39-46 (2009); retracted ibid. 27, 99-101 (2016).
Koszul algebras of finite complexity. (Chinese. English summary) Zbl 1224.16055
Finite length modules over HNPs. (English) Zbl 1191.16020
Reviewer: Günter Krause (Winnipeg)
Factor categories and infinite direct sums. (English) Zbl 1181.16002
Reviewer: A. I. Kashu (Kishinev)
On \(\Sigma\)-\(q\) rings. (English) Zbl 1208.16007
Reviewer: Septimiu Crivei (Cluj-Napoca)
A note on almost injective modules. (English) Zbl 1171.16003
Reviewer: Frieda Theron (Neerlandia, Alberta)
Retracted: Upper basic and congruent submodules of QTAG-modules. (English) Zbl 1221.16003
Sci., Ser. A, Math. Sci. (N.S.) 16, 95-103 (2008); retracted ibid. 27, 99-101 (2016).
Representations of the category of serial modules of finite Goldie dimension. (English) Zbl 1221.16009
Göbel, Rüdiger (ed.) et al., Models, modules and abelian groups. In memory of A. L. S. Corner. Berlin: Walter de Gruyter (ISBN 978-3-11-019437-1/hbk). 463-486 (2008).
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