COGENERATOR AND SUBDIRECTLY IRREDUCIBLE IN THE CATEGORY OF S-POSETS

In this paper we study the notions of cogenerator and subdirectlyirreducible in the category of S-poset. First we give somenecessary and sufficient conditions for a cogenerator $S$-posets.Then we see that under some conditions, regular injectivityimplies generator and cogenerator. Recalling Birkhoff...

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Bibliographic Details
Main Author: Gholamreza Moghaddasi
Format: Article
Language:English
Published: Shahrood University of Technology 2015-02-01
Series:Journal of Algebraic Systems
Subjects:
Online Access:http://jas.shahroodut.ac.ir/article_371_cf285a5a87885ed211e1f128762fbc2f.pdf