Extending modules are generalizations of injective modules and, dually, lifting modules
generalize projective supplemented modules. There is a certain asymmetry in this duality …

The model-theoretic investigation of modules has led to ideas, techniques and results which
are of algebraic interest, irrespective of their model-theoretic significance. It is these aspects …

It is possible to associate a topological space to the category of modules over any ring. This
space, the Ziegler spectrum, is based on the indecomposable pure-injective modules …

Accosiative rings and algebras are very interesting algebraic structures. In a strict sense, the
theory of algebras (in particular, noncommutative algebras) originated fromasingleexample …

Quasi-Frobenius rings and Nakayama rings were introduced by T Nakayama in 1939. Since
then, these classical artinian rings have continued to fascinate ring theorists with their …

This book provides a unified approach to much of the theories of equivalence and duality
between categories of modules that has transpired over the last 45 years. In particular …

Let R be an associative ring. This monograph deals with the right R-modules MR whose
endomorphism ring End (MR) is semilocal. More generally, let A be any preadditive …

Данная книга посвящена изложению теории арифметических, дистрибутивных и
полудистрибутивных модулей и колец, а также модулей и колец Безу над …

Abstract Let gm= sl (2)⋉ V (m), m≥ 1, where V (m) is the irreducible sl (2)-module of
dimension m+ 1 viewed as an abelian Lie algebra. It is known that the isomorphism classes …

In the present note, we continue the study of skew inverse Laurent series ring R ((x− 1; α, δ))
and skew inverse power series ring R [[x− 1; α, δ]], where R is a ring equipped with an …