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On some classes of modules and characterization of rings.
- 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