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1996, North-Holland mathematics studies, ISBN 9780444824387, Volume 184, 404
For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-section of modern algebra. As a consequence, the theory of... 
Alternative rings | Group rings | Loops (Group theory)
eBook
2002, Algebras and applications, ISBN 1402002394, Volume 1, xi, 371
Book
Journal of Group Theory, ISSN 1433-5883, 07/2014, Volume 17, Issue 4, pp. 541 - 557
We investigate the Jordan nilpotency of a group ring and, when has an involution that is the linear extension of an involution on , also the Jordan nilpotency... 
MATHEMATICS | Analysis | Rings (Algebra) | Group theory | Rings (mathematics)
Journal Article
Finite fields and their applications, ISSN 1071-5797, 2007, Volume 13, Issue 2, pp. 382 - 393
We compute the number of simple components of a semisimple finite abelian group algebra and determine all cases where this number is minimal; i.e. equal to the... 
Finite field | Abelian code | Minimal code | Group algebra | MATHEMATICS | group algebra | MATHEMATICS, APPLIED | abelian code | finite field | minimal code
Journal Article
Journal of algebra and its applications, ISSN 0219-4988, 02/2013, Volume 12, Issue 1, pp. 1250131 - 1250110
Let G be a group with involution * and sigma : G -> {+/- 1} a group homomorphism. The map # that sends alpha = Sigma alpha(g)g in a group ring RG to alpha(#) =... 
ring with involution | skew-symmetric element | Group ring | MATHEMATICS | MATHEMATICS, APPLIED | Homomorphisms | Paper | Inverse | Algebra | Group theory | Rings (mathematics)
Journal Article
Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, 02/2007, Volume 50, Issue 1, pp. 37 - 47
... SYMMETRIC ELEMENTS IN GROUP RINGS OSNEL BROCHE CRISTO AND CSAR POLCINO MILIES Instituto de Matemtica e Estatstica, Universidade de Sao Paulo, Caixa Postal 66281... 
Involution | Skew symmetric elements | Group ring | MATHEMATICS | group ring | skew symmetric elements | involution | Mathematics
Journal Article
Revista integración, temas de matematicas, ISSN 0120-419X, 04/2019, Volume 37, Issue 1, pp. 153 - 166
Estudiamos códigos construidos a partir de ideales de álgebras de grupo y estamos particularmente interesados en sus dimensiones y pesos. Introducimos... 
Journal Article
Journal of algebra, ISSN 0021-8693, 10/2002, Volume 256, Issue 1, pp. 1 - 6
We prove that the normalizer property holds for the integral group ring of a finite Frobenius group G; i.e., that the normalizer of G in the group of units of... 
MATHEMATICS
Journal Article
Revista integración, temas de matematicas, ISSN 0120-419X, 02/2019, Volume 37, Issue 1
We study codes constructed from ideals in group algebras and we are particularly interested in their dimensions and weights. First we introduced a special kind... 
group algebra | code | Hamming distance | ideal | weight | group code
Journal Article
Journal of group theory, ISSN 1433-5883, 03/2010, Volume 13, Issue 2, pp. 221 - 231
Let ∗ be an involution of a group algebra induced by an involution of the group . For char ≠ 2, we classify the torsion groups with no elements of order 2... 
MATHEMATICS | ELEMENTS | Finite groups | Research | Geometry, Algebraic
Journal Article
Journal of algebra, ISSN 0021-8693, 01/2020, Volume 541, p. 51
Fundamental algebras play an important role in the theory of algebras with polynomial identities in characteristic zero. They are defined in terms of... 
Algebra
Journal Article
Journal of algebra, ISSN 0021-8693, 01/2020, Volume 541, pp. 51 - 60
Fundamental algebras play an important role in the theory of algebras with polynomial identities in characteristic zero. They are defined in terms of... 
Fundamental algebra | Cocharacter | Polynomial identity | Grassmann algebra
Journal Article
Journal of algebra, ISSN 0021-8693, 01/2020, Volume 541, pp. 51 - 60
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 08/2020, p. 1
Journal Article
São Paulo Journal of Mathematical Sciences, ISSN 1982-6907, 06/2017, Volume 11, Issue 1, pp. 46 - 52
Journal Article
Journal of algebra and its applications, ISSN 0219-4988, 2009, Volume 8, Issue 1, pp. 115 - 127
Let R be a commutative ring, G a group and RG its group ring. Let phi : RG -> RG denote the R-linear extension of an involution phi defined on G. An element x... 
Involution | Group ring | Antisymmetric elements | MATHEMATICS | COMMUTATIVITY | MATHEMATICS, APPLIED | antisymmetric elements | LIE-ALGEBRA | group ring | GROUP-ALGEBRAS | UNITARY UNITS | SKEW-SYMMETRIC ELEMENTS
Journal Article
Journal of algebra and its applications, ISSN 0219-4988, 2008, Volume 7, Issue 5, pp. 593 - 599
We investigate polynomial identities on an alternative loop algebra and group identities on its (Moufang) unit loop. An alternative loop ring always satisfies... 
Alternative loop ring | Moufang loop of units | Polynomial identity | Group identity | MATHEMATICS | MATHEMATICS, APPLIED | group identity | GROUP-RINGS | UNITS | alternative loop ring | CENTRAL IDEMPOTENTS
Journal Article
Canadian mathematical bulletin, ISSN 1496-4287, 2018, Volume 56, Issue 2, pp. 344 - 353
Let denote an involution on a group . For any (commutative, associative) ring (with 1), * extends linearly to an involution of the group ring . An element α ∊... 
Journal Article
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