In this paper, we study the pure acyclic complexes of modules. We obtain several
characterizations of these complexes, extending results that are known for the pure acyclic …

We investigate the structure of pure-syzygy modules in a pure-projective resolution of any
right R-module over an associative ring R with an identity element. We show that a right R …

Projective modules over the endomorphism ring of a biuniform module - ScienceDirect Skip
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ON THE INJECTIVITY AND FLATNESS OF CERTAIN CYCLIC MODULES Page 1
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 48, Number 1, March …

A submodule N of a right R-module M is called coneat if for every simple right R-module S,
any homomorphism $ N {\rightarrow} S $ can be extended to a homomorphism $ M …

In this article, the projectivity of finitely generated flat modules of a commutative ring are
studied from a topological point of view. Then various interesting results are obtained. For …

Every projective module is flat. Conversely, every flat module is a direct limit of finitely
generated free modules; this was proved independently by Govorov and Lazard in the …

When every projective module is a direct sum of finitely generated modules Page 1 Journal
of Algebra 315 (2007) 454–481 www.elsevier.com/locate/jalgebra When every projective …

Nakayama, who called these rings generalized uniserial rings, proved [21, Theorem 171
that every finitely generated module over a serial ring is a direct sum of uniserial modules. In …

It is known that over an Iwanaga–Gorenstein ring the Gorenstein injective (Gorenstein
projective, Gorenstein flat) modules are simply the cycles of acyclic complexes of injective …