Found 128 Documents (Results 1–100)
Classes of piecewise quasiaflne transformations on dihedral, quasidihedral and modular maximal-cyclic \(2\)-groups. (English. Russian original) Zbl 1540.20043
Discrete Math. Appl. 34, No. 1, 15-27 (2024); translation from Diskretn. Mat. 34, No. 2, 50-66 (2022).
Reviewer: Egle Bettio (Venezia)
Multipermutations on the Cartesian product of groups and their properties. (Russian. English summary) Zbl 1533.94051
Remote voting protocols. I. (Russian. English summary) Zbl 1533.94047
Classes of piecewise-quasiaffine transformations on the generalized \(2\)-group of quaternions. (English. Russian original) Zbl 1527.20031
Discrete Math. Appl. 33, No. 5, 299-316 (2023); translation from Diskretn. Mat. 34, No. 1, 103-125 (2022).
Reviewer: Egle Bettio (Venezia)
On the number of quadratic orthomorphisms that produce maximally nonassociative quasigroups. (English) Zbl 1536.20081
Reviewer: Raúl M. Falcón (Sevilla)
Cycles of quadratic Latin squares and antiperfect 1-factorisations. (English) Zbl 1527.05027
Reviewer: Ian M. Wanless (Clayton)
The structure of the orthomorphism graph of \(\mathbb{Z}_2\times\mathbb{Z}_4\). (English) Zbl 07745832
Reviewer: Ian M. Wanless (Clayton)
On the Arens homomorphism. (English. Russian original) Zbl 1505.46005
Funct. Anal. Appl. 56, No. 2, 144-151 (2022); translation from Funkts. Anal. Prilozh. 56, No. 2, 82-91 (2022).
Reviewer: Mohamed Ali Toumi (Bizerte)
Convergence structures and Hausdorff uo-Lebesgue topologies on vector lattice algebras of operators. (English) Zbl 07556881
Reviewer: Sahiba Arora (Dresden)
Construction of orthomorphic MDS matrices with primitive characteristic polynomial. (English) Zbl 1487.15039
Constructing 8-bit permutations, 8-bit involutions and 8-bit orthomorphisms with almost optimal cryptographic parameters. (English) Zbl 1486.94095
The limited deficit method and the problem of constructing orthomorphisms and almost orthomorphisms of abelian groups. (English. Russian original) Zbl 07452426
Discrete Math. Appl. 31, No. 5, 327-343 (2021); translation from Diskretn. Mat. 31, No. 3, 58-77 (2020).
Convergence structures and locally solid topologies on vector lattices of operators. (English) Zbl 07376336
Reviewer: Sahiba Arora (Dresden)
Maximally nonassociative quasigroups via quadratic orthomorphisms. (English) Zbl 1500.20009
Reviewer: Kenneth W. Johnson (Abington)
MSC:
20N05
A class of a non-Banach \(F\)-lattices \(E\) such that every orthomorphism on \(E\) is central with applications to Musielak-Orlicz sequence spaces. (English) Zbl 1471.46004
The name tag problem. (English) Zbl 1464.11027
Orthomorphisms of abelian groups with minimum possible pairwise distances. (English. Russian original) Zbl 1437.20049
Discrete Math. Appl. 30, No. 3, 177-186 (2020); translation from Diskretn. Mat. 30, No. 4, 55-65 (2018).
Multiplicative and exponential variations of orthomorphisms of cyclic groups. (English) Zbl 1430.05001
Orthogonal Latin squares based on groups. (English) Zbl 1404.05002
Developments in Mathematics 57. Cham: Springer (ISBN 978-3-319-94429-6/hbk; 978-3-319-94430-2/ebook). xv, 537 p. (2018).
Reviewer: John Lorch (Muncie)
Orthomorphisms on non-Banach \(F\)-lattices containing a copy of \(\mathbb{R}^{\mathbb{N}}\) with applications to Musielak-Orlicz spaces. (English) Zbl 1383.46005
Reviewer: Esteban Induraín (Pamplona)
The order continuity in ordered algebras. (English) Zbl 1376.46006
Reviewer: Mati Abel (Tartu)
Existence results for cyclotomic orthomorphisms. (English) Zbl 1368.05158
MSC:
05E15
05B15
\(\sigma\)-weak orthomorphisms. (English) Zbl 1429.06026
de Jeu, Marcel (ed.) et al., Ordered structures and applications. Positivity VII (Zaanen centennial conference), Leiden, the Netherlands, July 22–26, 2013. Basel: Birkhäuser/Springer. Trends Math., 91-98 (2016).
Characterization of Riesz spaces with topologically full center. (English) Zbl 1408.46006
de Jeu, Marcel (ed.) et al., Ordered structures and applications. Positivity VII (Zaanen centennial conference), Leiden, the Netherlands, July 22–26, 2013. Basel: Birkhäuser/Springer. Trends Math., 35-49 (2016).
Multiplicative structure of biorthomorphisms and embedding of orthomorphisms. (English) Zbl 1354.06010
A relationship between the space of orthomorphisms and the centre of a vector lattice revisited. (English) Zbl 1354.46006
Reviewer: Beloslav Riečan (Banská Bystrica)
\(f\)-representation of a function algebra. (English) Zbl 1331.47058
Reviewer: Şafak Alpay (Ankara)
Applications of complete mappings and orthomorphisms of finite groups. (English) Zbl 1328.05026
Reviewer: Julian Abel (Sydney)
The problem of central orthomorphisms in a class of \(F\)-lattices. (English) Zbl 1336.46006
Reviewer: Şafak Alpay (Ankara)
Generalizations of complete mappings of finite fields and some applications. (English) Zbl 1332.11107
A class of orthogonal Latin square graphs. (English) Zbl 1303.05162
Reviewer: Alexander Rosa (Hamilton/Ontario)
Permutation polynomials and orthomorphism polynomials of degree six. (English) Zbl 1276.11197
MSC:
11T06
Discrete vector lattices and the range of orthomorphisms. (English) Zbl 1284.06043
Reviewer: Şafak Alpay (Ankara)
Shapeless quasigroups derived by Feistel orthomorphisms. (English) Zbl 1269.94027
Reviewer: Jerzy Żurawiecki (Lublin)
On the centre of a vector lattice. (English) Zbl 1282.46006
Reviewer: Beloslav Riečan (Banská Bystrica)
Near-automorphisms of Latin squares. (English) Zbl 1233.05053
Reviewer: Dan S. Archdeacon (Burlington)
Order continuous extensions of positive compact operators on Banach lattices. (English) Zbl 1230.47070
Reviewer: Mohamed Ali Toumi (Bizerte)
The order bidual of \(f\)-algebras revisited. (English) Zbl 1242.06014
Reviewer: Mohamed Ali Toumi (Bizerte)
A note on bi-orthomorphisms. (English) Zbl 1254.46005
Curbera, Guillermo P. (ed.) et al., Vector measures, integration and related topics. Selected papers from the 3rd conference on vector measures and integration, Eichstätt, Germany, September 24–26, 2008. Basel: Birkhäuser (ISBN 978-3-0346-0210-5/hbk; 978-3-0346-0211-2/ebook). Operator Theory: Advances and Applications 201, 99-107 (2010).
Reviewer: Esteban Induraín (Pamplona)
Linear orthomorphisms on GF\( (2^n)^m\). (Chinese. English summary) Zbl 1240.94093
The parity of the number of quasigroups. (English) Zbl 1231.05037
MSC:
05B15
Check character systems and totally conjugate orthogonal \(T\)-quasigroups. (English) Zbl 1197.94229
On the number of transversals in Cayley tables of cyclic groups. (English) Zbl 1225.05047
MSC:
05B15
Order-bounded generalized derivations on Archimedean almost \(f\)-algebras. (English) Zbl 1192.06018
Reviewer: Ömer Gök (Istanbul)
Latin squares, homologies and Euler conjecture. (English) Zbl 1246.05028
Reviewer: Hubert Kiechle (Hamburg)
A note on weak orthomorphisms. (English) Zbl 1177.06023
Reviewer: Beloslav Riečan (Banská Bystrica)
On completing three cyclically generated transversals to a Latin square. (English) Zbl 1161.05016
MSC:
05B15
Spectral lattices. (English) Zbl 1145.81009
Transversals in Latin squares. (English) Zbl 1158.05015
Reviewer: Julian Abel (Sydney)
Complex orthomorphisms and Riesz homomorphisms in complex \(f\)-algebras. (Chinese. English summary) Zbl 1128.47314
\(L^1\) representation of Riesz spaces. (English) Zbl 1122.46001
Reviewer: Ömer Gök (Istanbul)
Invariant subspace theorems for families on a Banach lattice. (English) Zbl 1124.47006
Weber, Martin R. (ed.) et al., Proceedings of the conference “Positivity IV—Theory and Applications”, Dresden, Germany, July 25–29, 2005. Dresden, TU Dresden, Institut für Analysis (ISBN 3-86005-512-7/pbk). 15-20 (2006).
Reviewer: Eungil Ko (Seoul)
Algebraic order bounded disjointness preserving operators and strongly diagonal operators. (English) Zbl 1111.47033
Integral Equations Oper. Theory 54, No. 1, 9-31 (2006); erratum ibid. 75, No. 3, 443-444 (2013).
Reviewer: Şafak Alpay (Ankara) (MR 2006i:47070)
On orthomorphisms, quasi-orthomorphisms and quasi-multipliers. (English) Zbl 1110.46014
Reviewer: William A. Feldman (Fayetteville)
Check character systems using quasigroups. II. (English) Zbl 1138.94394
MSC:
94B60
Cyclotomic \(\mathcal R\)-orthomorphisms of finite fields. (English) Zbl 1078.11068
Reviewer: Ralph-Hardo Schulz (Berlin)
Description of principal bands generated by disjointness preserving operators. (Russian) Zbl 1094.47515
Properties of maximal linear orthomorphisms permutations. (Chinese. English summary) Zbl 1088.15509
On check character systems over groups. (English) Zbl 1097.94033
Reviewer: Ralph-Hardo Schulz (Berlin)
A strongly diagonal power of algebraic order bounded disjointness preserving operators. (English) Zbl 1064.47038
Some recent trends and advances in certain lattice ordered algebras. (English) Zbl 1043.06012
Jarosz, Krzysztof (ed.), Function spaces. Proceedings of the 4th conference, Edwardsville, IL, USA, May 14–19, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3269-7/pbk). Contemp. Math. 328, 99-133 (2003).
On ideals generated by positive operators. (English) Zbl 1059.47040
Reviewer: Ömer Gök (Istanbul)
Characterization and counting of maximal linear orthomorphism permutations. (Chinese. English summary) Zbl 1018.12004
Composition operators on Riesz space. (English) Zbl 1013.47007
Abe, Jair Minoro (ed.) et al., Unsolved problems on mathematics for the 21st century. A tribute to Kiyoshi Iséki’s 80th birthday. Amsterdam: IOS Press. 33-35 (2001).
Reviewer: K.Zhu (Albany)
A characterization of the Jacobi logarithms of a finite field. (English) Zbl 0986.12001
Reviewer: W.Kerby (Hamburg)
Construction, properties and applications of finite neofields. (English) Zbl 1035.12003
Reviewer: Aleš Drápal (Praha)
Stable \(f\)-algebras. (English) Zbl 1013.06021
Reviewer: Jiří Rachůnek (Olomouc)
MSC:
06F25
New and old values for maximal MOLS\((n)\). (English) Zbl 0993.05029
MSC:
05B15
On \(f\)-linearity and \(f\)-orthomorphisms. (English) Zbl 0968.46007
Reviewer: S.S.Kutateladze (Novosibirsk)
Relationship between subsets of positive operators on Riesz space. (English) Zbl 0937.47042
Reviewer: G.Buskes (University)
On \(n\)-disjoint operators. (English) Zbl 0938.47029
Reviewer: S.S.Kutateladze (Novosibirsk)
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