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Displaying 101 – 120 of 139

On the isomorphism problem for modular group algebras of elementary abelian-by-cyclic p-groups

Czesław Bagiński (1999)

Colloquium Mathematicae

Let G be a finite p-group and let F be the field of p elements. It is shown that if G is elementary abelian-by-cyclic then the isomorphism type of G is determined by FG.

On the Jacobson radical and unit groups of group álgebras.

Meena Sahai (1998)

Publicacions Matemàtiques

In this paper, we study the situation as to when the unit group U(KG) of a group algebra KG equals K*G(1 + J(KG)), where K is a field of characteristic p > 0 and G is a finite group.

On the Jacobson radical of graded rings.

Kelarev, A.V. (1992)

Commentationes Mathematicae Universitatis Carolinae

On the $K$ -theory and Hattori-Stallings traces of minimal primitive factors of enveloping algebras of semisimple Lie algebras : the singular case

Patrick Polo (1995)

Annales de l'institut Fourier

Let $G$ be a semisimple complex algebraic group and $X$ its flag variety. Let $𝔤 = Lie (G)$ and let $U$ be its enveloping algebra. Let $𝔥$ be a Cartan subalgebra of $𝔤$ . For $μ \in 𝔥^{*}$ , let $J_{μ}$ be the corresponding minimal primitive ideal, let $U_{μ} = U / J_{μ}$ , and let $𝒯_{U_{μ}} : K_{0} (U_{m} u) \to ℂ$ be the Hattori-Stallings trace. Results of Hodges suggest to study this map as a step towards a classification, up to isomorphism or Morita equivalence, of the $ℂ$ -algebras $U_{μ}$ . When $μ$ is regular, Hodges has shown that $K_{0} (U_{μ}) ≅ K_{0} (X)$ . In this case $K_{0} (U_{μ})$ is generated by the classes corresponding to...

On the minimum distance of ideals in group algebras

Ute Vellbinger (1996)

Acta Mathematica et Informatica Universitatis Ostraviensis

On the multiplicative subgroup of a group ring

A. A. Bovdi, A. StrojnowskI (1990)

Banach Center Publications

On the nilpotency of the Jacobson radical of semigroup rings.

Kelarev, A.V. (1994)

Acta Mathematica Universitatis Comenianae. New Series

On the Primitivity of Certain Ore Extensions.

R.S. Irving (1979)

Mathematische Annalen

On the Radicals of Structural Matrix Rings.

Stefan Veldsman (1996)

Monatshefte für Mathematik

On the rank of semimodules over semirings.

U. Hebisch, H. J. Weinert (1995)

Collectanea Mathematica

On the regularity of group algebras

A. A. Bovdi, T. P. Lángi (1996)

Archivum Mathematicum

On the representation type of triangular matrix algebras over special algebras

Zbigniew Leszczyński (1991)

Fundamenta Mathematicae

On the ring of the variety of algebras over a ring

Pavol Zlatoš (1983)

Commentationes Mathematicae Universitatis Carolinae

On the semiprimitivity of inverse semigroup algebras and on theorems by Domanov and Munn.

J.S. Ponizovskii (1990)

Semigroup forum

On the structure of the augmentation quotient group for some nonabelian 2-groups

Jizhu Nan, Huifang Zhao (2012)

Czechoslovak Mathematical Journal

Let $G$ be a finite nonabelian group, $ℤ G$ its associated integral group ring, and $▵ (G)$ its augmentation ideal. For the semidihedral group and another nonabelian 2-group the problem of their augmentation ideals and quotient groups $Q_{n} (G) = ▵^{n} (G) / ▵^{n + 1} (G)$ is deal with. An explicit basis for the augmentation ideal is obtained, so that the structure of its quotient groups can be determined.

On the structure theory of the Iwasawa algebra of a p-adic Lie group

Otmar Venjakob (2002)

Journal of the European Mathematical Society

This paper is motivated by the question whether there is a nice structure theory of finitely generated modules over the Iwasawa algebra, i.e. the completed group algebra, $Λ$ of a $p$ -adic analytic group $G$ . For $G$ without any $p$ -torsion element we prove that $Λ$ is an Auslander regular ring. This result enables us to give a good definition of the notion of a pseudo-null $Λ$ -module. This is classical when $G = ℤ_{p}^{k}$ for some integer $k \geq 1$ , but was previously unknown in the non-commutative case. Then the category of $Λ$ -modules...

On the symplectic structure of irreducible representation modules of the metacyclic group $G = 〈 a, b : a^{n} = 1, b^{2} = a^{t}, b a b^{- 1} = a^{r} 〉$ . (Zur symplektischen Struktur irreduzibler Darstellungsmoduln der metazyklischen Gruppe $G = 〈 a, b : a^{n} = 1, b^{2} = a^{t}, b a b^{- 1} = a^{r} 〉$ .)

Roesch, Gerhard, Rosenbaum, Kurt (1995)

Beiträge zur Algebra und Geometrie

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