A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
τ-complemented and τ-supplemented modules

2006
*
Algebra and Discrete Mathematics RESEARCH ARTICLE Number
*
unpublished

Proper classes of monomorphisms and short exact sequences were introduced by Buchsbaum to study relative homo-logical algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphisms and this observations were extended to modules by Stenström, Gener-alov, and others. In this note we consider complements and supplements with respect to (idempotent) radicals and study the related proper classes of short exact sequences. 1. Proper classes and

fatcat:cjbdl5yrw5ahba2f7xttdtw64q