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On some classes of modules and characterization of rings.

Authors :
Signoret, Carlos
Zamora-Erazo, Sergio
Source :
Communications in Algebra; 2017, Vol. 45 Issue 11, p4771-4782, 12p
Publication Year :
2017

Abstract

An abstract class of R-Mod is termed Additive Class if it is closed under taking submodules, homomorphic images and finite direct sums. In this paper we study the lattice properties of R-ad, the big lattice of all additive classes in R-mod for R any ring. Also, we study the lattice properties of R-ad when R is a Noetherian or semisimple ring. We describe a characterization of some rings through the additive classes and their properties. We study some properties of additive classes related with the associated linear filters. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00927872
Volume :
45
Issue :
11
Database :
Complementary Index
Journal :
Communications in Algebra
Publication Type :
Academic Journal
Accession number :
124128199
Full Text :
https://doi.org/10.1080/00927872.2017.1281933