Endo-permutation modules arise in a number of ways in the representation theory of® nite
groups, in particular in connection with equivalences between blocks and as sources of …

Full article: The ϕ-Krull dimension of some commutative extensions Skip to Main Content
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A previously unrecognized class of a priori indecomposable modules, containing all the
commonly known indecomposable modules over an Artin ring, is studied. Modules in this …

In this article, we define a module M to be 𝒢-extending if and only if for each X≤ M there
exists a direct summand D of M such that X∩ D is essential in both X and D. We consider …

Let C be a given class of mathematical objects and assume that for any X£ C a certain
“dimension” 8 (X), which is an ordinal number or oo, was defined. Then, it is very natural to …

Module theory is an important tool for many different branches of mathematics, as well as
being an interesting subject in its own right. Within module theory, the concept of injective …

This article presents new examples of Jaffard domains (domains whose valuative dimension
defined more accurately coincides with the Krull dimension) which can help to determine …

Koszul duality Page 1 JGP - Vol. 5, n. 3, 1988 Koszul duality AA BEILINSON 125 319
Chernyakhovski sir., 5 apt 144, Moscow, USSR VA GINSBURG 117 449Vinokurova sir., 5/6-2 …

The definition of a pseudo-dualizing complex is obtained from that of a dualizing complex by
dropping the injective dimension condition, while retaining the finite generatedness and …

1. Introduction. As is well known, an Artin algebra R is of finite representation type, ie, R
admits only finitely many isomorphism classes of indecomposable right or left modules, if …