EuDML | Browse

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]

Opérations d'Adams sur certains groupes de Grothendieck

Philippe CASSOU-NOGUÈS, Martin J. TAYLOR (1982/1983)

Seminaire de Théorie des Nombres de Bordeaux

Orbit algebras and periodicity

Petter Andreas Bergh (2009)

Colloquium Mathematicae

Given an object in a category, we study its orbit algebra with respect to an endofunctor. We show that if the object is periodic, then its orbit algebra modulo nilpotence is a polynomial ring in one variable. This specializes to a result on Ext-algebras of periodic modules over Gorenstein algebras. We also obtain a criterion for an algebra to be of wild representation type.

Orbit algebras that are invariant under stable equivalences of Morita type

Zygmunt Pogorzały (2014)

Open Mathematics

In this note we show that there are a lot of orbit algebras that are invariant under stable equivalences of Morita type between self-injective algebras. There are also indicated some links between Auslander-Reiten periodicity of bimodules and noetherianity of their orbit algebras.

Currently displaying 421 – 440 of 677

Previous Page 22 Next