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 …

Projective modules are determined by their radical factors - ScienceDirect Skip to main
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We apply minimal weakly generating sets to study the existence of Add (UR)-covers for a
uniserial module U R. If UR is a uniserial right module over a ring R, then S:= End (UR) has …

Pure projective modules over chain domains with Krull dimension - ScienceDirect Skip to main
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We study some closely interrelated notions of Homological Algebra:(1) We define a topology
on modules over a not-necessarily commutative ring R that coincides with the R-topology …

In this article, we present the classical Krull-Schmidt Theorem for groups, its statement for
modules due to Azumaya, and much more modern variations on the theme, like the so …

We classify pure projective modules over an arbitrary exceptional chain noncoherent ring R.
In particular, we show that there exists a pure projective R-module admitting no …

Full article: An indecomposable direct summand of a serial module which is not uniserial Skip
to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

MR2954724 16D40 Puninskiı, GE (BE-BEL-NDM) Pure projective modules over exceptional
serial noncoherent rings.2076-6203 157 Page 1 Previous Up Next Article Citations From …

Аннотация Мы классифицируем чисто проективные модули над произвольным
исключитель ным цепным некогерентным кольцом R. В частности, мы показываем, что …