We introduce a notion of pure-minimality for chain complexes of modules and show that it
coincides with (homotopic) minimality in standard settings, while being a more useful notion …

ON A CLASS OF MINIMAL TOPOLOGICAL MODULES A topological module over a discrete ring
R is a module endowed with a topology such t Page 1 ON A CLASS OF MINIMAL TOPOLOGICAL …

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 …

MINIMAL SETS IN FINITE RINGS 1. Introduction In the mid-1980’s, David Hobby and Ralph
McKenzie introduced a general local- iza Page 1 MINIMAL SETS IN FINITE RINGS LEANNE …

A module M is called complemented if, for every submodule U of M, the set {V⊂ M| U+ V= M}
has a minimal element. This paper investigates the structure of complemented modules over …

A module M is called a minimax module, if it has a finitely generated submodule U such that
M/U is Artinian. This paper investigates minimax modules and some generalized classes …

A weak basis of a module is a generating set of the module minimal with respect to
inclusion. A module is said to be regularly weakly based provided that each of its generating …

In this paper we establish a very close link (in terms of von Neumann's coordinatization)
between regular modules introduced by Zelmanowitz, on one hand, and von Neumann …

Let R be a left Artinian ring, and M a faithful left R-module such that no proper submodule or
homomorphic image of M is faithful. If R is local, and socle (R) is central in R, we show that …

Projective covers over local rings | Annali di Matematica Pura ed Applicata (1923 -) Skip to
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