Results 11 to 20 of about 511,555 (281)
Group codes over symmetric groups
AIMS Mathematics, 2023 Let $ \Bbb F_{q} $ be a finite field of characteristic $ q $ and $ S_n $ a symmetric group of order $ n! $. In this paper, group codes in the symmetric group algebras $ \Bbb F_{q}S_n $ with $ q > 3 $ and $ n = 3, 4 $ are proposed.
Yanyan Gao , Yangjiang Wei
doaj +1 more source
Continuous-Like Linear Operators on Bilinear Spaces
Journal of Mathematical and Fundamental Sciences, 2020 This paper introduces continuous-like linear operators on bilinear spaces as a generalization of continuous linear operators on Hilbert spaces. It is well known that the existence of the adjoint of a linear operator on a Hilbert space is equivalent to ...
Sabarinsyah Sabarinsyah +2 more
doaj +1 more source
Monothetic algebraic groups [PDF]
Journal of the Australian Mathematical Society, 2007 AbstractWe call an algebraic group monothetic if it possesses a dense cyclic subgroup. For an arbitrary field k we describe the structure of all, not necessarily affine, monothetic k-groups G and determine in which cases G has a k-rational generator.
FALCONE, Giovanni +2 more
openaire +4 more sources
Remarks on Conjectures in Block Theory of Finite Groups
Axioms, 2023 In this paper, we focus on Brauer’s height zero conjecture, Robinson’s conjecture, and Olsson’s conjecture regarding the direct product of finite groups and give relative versions of these conjectures by restricting them to the algebraic concept of the ...
Manal H. Algreagri, Ahmad M. Alghamdi
doaj +1 more source
Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]
, 2015 In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Bogfjellmo, Geir +2 more
core +3 more sources
Duality for convex monoids [PDF]
, 2015 Every C*-algebra gives rise to an effect module and a convex space of states, which are connected via Kadison duality. We explore this duality in several examples, where the C*-algebra is equipped with the structure of a finite-dimensional Hopf algebra ...
Roumen, Frank, Roy, Sutanu
core +2 more sources
GENERALISING GROUP ALGEBRAS [PDF]
Journal of the London Mathematical Society, 2005 This paper has been ...
openaire +4 more sources
Self-Dual Normal Basis of a Galois Ring
Journal of Mathematics, 2014 Let R′=GR(ps,psml) and R=GR(ps,psm) be two Galois rings. In this paper, we show how to construct normal basis in the extension of Galois rings, and we also define weakly self-dual normal basis and self-dual normal basis for R′ over R, where R′ is ...
Irwansyah +3 more
doaj +1 more source
Proof of some properties of transfer using noncommutative determinants [PDF]
Advances in Group Theory and Applications, 2018 A transfer is a group homomorphism from a group to an abelian quotient group of a subgroup of finite index. In this paper, we give a natural interpretation of the transfers in group theory in terms of noncommutative determinants.
Naoya Yamaguchi
doaj +1 more source
PROJECTIVE GROUP ALGEBRAS [PDF]
International Journal of Modern Physics A, 1999 In this paper we apply a recently proposed algebraic theory of integration to projective group algebras. These structures have received some attention in connection with the compactification of the M theory on noncommutative tori. This turns out to be an interesting field of applications, since the space [Formula: see text] of the equivalence classes ...
openaire +4 more sources