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Displaying 81 – 100 of 105

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 K-theory of tubular algebras

Dirk Kussin (2000)

Colloquium Mathematicae

Let Λ be a tubular algebra over an arbitrary base field. We study the Grothendieck group $K_{0} (Λ)$ , endowed with the Euler form, and its automorphism group $A u t (K_{0} (Λ))$ on a purely K-theoretical level as in [7]. Our results serve as tools for classifying the separating tubular families of tubular algebras as in the example [5] and for determining the automorphism group $A u t (D^{b} Λ)$ of the derived category of Λ.

On the lattice of cotilting modules.

Buan, Aslak Bakke, Krause, Henning, Solberg, Øyvind (2002)

AMA. Algebra Montpellier Announcements [electronic only]

On the normal ideals of exchange rings.

Lu, Dancheng, Wu, Tongsuo (2008)

Sibirskij Matematicheskij Zhurnal

On the numbers of discrete indecomposable modules over tame algebras

Andrzej Skowroński, Grzegorz Zwara (1997)

Colloquium Mathematicae

On the regularity of group algebras

A. A. Bovdi, T. P. Lángi (1996)

Archivum Mathematicum

On the Steenrod operations in cyclic cohomology.

Elhamdadi, Mohamed, Gouda, Yasien Gh. (2003)

International Journal of Mathematics and Mathematical Sciences

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 trivial extensions of tubular algebras

Jerzy Białkowski (2004)

Colloquium Mathematicae

The aim of this note is to give an affirmative answer to a problem raised in [9] by J. Nehring and A. Skowroński, concerning the number of nonstable ℙ₁(K)-families of quasi-tubes in the Auslander-Reiten quivers of the trivial extensions of tubular algebras over algebraically closed fields K.

On the weak regularity of semigroup rings.

F. Li (1994)

Semigroup forum

On tilting and cotilting-type modules

Gabriella D'Este (2005)

Commentationes Mathematicae Universitatis Carolinae

We use modules of finite length to compare various generalizations of the classical tilting and cotilting modules introduced by Brenner and Butler [BrBu].

On unit-regular ideals.

Chen, Huanyin, Chen, Miaosen (2003)

The New York Journal of Mathematics [electronic only]

On $V$ -rings and unit-regular rings

Roger Yue Chi Ming (1981)

Rendiconti del Seminario Matematico della Università di Padova

On von Neumann regular rings - II.

R. Yue Chi Ming (1976)

Mathematica Scandinavica

On von Neumann regular rings. VII.

Roger Yue Chi Ming (1982)

Commentationes Mathematicae Universitatis Carolinae

On Von Neumann regular rings, X.

Roger Yue Chi Ming (1983)

Collectanea Mathematica

On von Neumann varieties.

Borceux, F., Rosický, J. (2004)

Theory and Applications of Categories [electronic only]

On weakly $π$ -subcommutative near-rings.

Nandakumar, P. (2009)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

One-sided Gorenstein subcategories

Weiling Song, Tiwei Zhao, Zhaoyong Huang (2020)

Czechoslovak Mathematical Journal

We introduce the right (left) Gorenstein subcategory relative to an additive subcategory $𝒞$ of an abelian category $𝒜$ , and prove that the right Gorenstein subcategory $r 𝒢 (𝒞)$ is closed under extensions, kernels of epimorphisms, direct summands and finite direct sums. When $𝒞$ is self-orthogonal, we give a characterization for objects in $r 𝒢 (𝒞)$ , and prove that any object in $𝒜$ with finite $r 𝒢 (𝒞)$ -projective dimension is isomorphic to a kernel (or a cokernel) of a morphism from an object in $𝒜$ with finite $𝒞$ -projective dimension...

Open/Closed string topology and moduli space actions via open/closed Hochschild actions.

Kaufmann, Ralph M. (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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