Let $\mathbb {k} $ be a field, and let $\Lambda $ be a (not necessarily finite dimensional)
$\mathbb {k} $-algebra. Let $ V $ be a left $\Lambda $-module such that is finite dimensional …

Let k be a field and let Λ be a finite dimensional k-algebra. We prove that every bounded
complex V• of finitely generated Λ-modules has a well-defined versal deformation ring R (Λ …

Let $\mathbf {k} $ be an algebraically closed field. Recently, K. Erdmann classified the
symmetric $\mathbf {k} $-algebras $\Lambda $ of finite representation type such that every …

Let k be a field, and let Λ be a finite dimensional k-algebra. We prove that if Λ is a self-
injective algebra, then every finitely generated Λ-module V whose stable endomorphism …

Let kk be an algebraically closed field, let Λ Λ be a finite dimensional k k-algebra and let VV
be a Λ Λ-module whose stable endomorphism ring is isomorphic to k k. If Λ Λ is self-injective …

Let $\mathbf {k} $ be an algebraically closed field, and let $\Lambda $ be a finite
dimensional $\mathbf {k} $-algebra. We prove that if $\Lambda $ is a Gorenstein algebra …

This paper is a continuation of a project to determine which skew polynomial algebras $ S=
R [\theta;\alpha] $ satisfy property $(\diamond) $, namely that the injective hull of every …

It is well known that a ring $ R $ is right Kasch if each simple right $ R $-module embeds in a
projective right $ R $-module. In this paper we study the dual notion and call a ring $ R …

Let $ A $ be a finite dimensional associative $\mathbb {K} $-algebra over an algebraically
closed field $\mathbb {K} $ of characteristic zero. To $ A $, we can associate its basic form …

Degenerations of Finite-Dimensional Modules are Given by Extensions Page 1 Degenerations
of Finite-Dimensional Modules are Given by Extensions GRZEGORZ ZWARA Faculty of …