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Paper Information

Title: 

CATEGORICAL PROPERTIES OF SEQUENTIALLY DENSE MONOMORPHISMS OF SEMIGROUP ACTS

Type: PAPER
Author(s): SHAHBAZ L.*,MAHMOUDI M.
 
 *DEPARTMENT OF MATHEMATICAL SCIENCES, UNIVERSITY OF MARAGHE MOALLEME SHOMALI AVE. MARAGHE, IRAN
 
Name of Seminar: SEMINAR ON ALGEBRA (SALG20)
Type of Seminar:  CONFERENCE
Sponsor:  TARBIAT MOALLEM UNIVERSITY, FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER
Date:  2009Volume 20
 
 
Abstract: 

Let M be a class of (mono)morphisms in a category A. To study mathematical notions, such as injectivity, tensor products, flatness, one needs to have some categorical and algebraic information about the pair (A,M).
In this paper we take A to be the category Act-S of S-acts, for a semigroup S, and Md to be the class of sequentially dense monomorphisms (of interests to computer scientists, too) and study the categorical properties, such as limits and colimits, of the pair (A,M). Injectivity with respect to this class of monomorphisms have been studied by Giuli, Ebrahimi, and the authors and got information about injectivity relative to monomorphisms.

 
Keyword(s): SEQUENTIAL CLOSURE, SEQUENTIAL DENSE
 
 
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