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Keywords = S-poset

Number of Articles: 2
ORDER DENSE ESSENTIALITY AND BEHAVIOR OF ORDER DENSE INJECTIVITY

L. Shahbaz

Volume 7, Issue 2 , January 2020, , Pages 315-334

https://doi.org/10.22044/jas.2019.7773.1384

Abstract
  In this paper, we study the categorical and algebraic properties, such as limits and colimits of the category Pos-S with respect to order dense embeddings. Injectivity with respect to this class of monomorphisms has been studied by the author and used to obtain information about injectivity ...  Read More
COGENERATOR AND SUBDIRECTLY IRREDUCIBLE IN THE CATEGORY OF S-POSETS

Gh. Moghaddasi

Volume 2, Issue 2 , January 2015, , Pages 137-146

https://doi.org/10.22044/jas.2015.371

Abstract
  In this paper we study the notions of cogenerator and subdirectly irreducible 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 injectivity implies generator and cogenerator. Recalling Birkhoff's ...  Read More