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Paper Information

Title: 

THE BAER CRITERION FOR ACTS OVER CLIFFORD SEMIGROUPS

Type: PAPER
Author(s): MOGHADASI GH.*
 
 *SABZEVAR TEACHER TRAINING UNIVERSITY, SABZEVAR, 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: 

It is known that although the Baer Criterion for injectivity holds for modules over rings with unit, it is not true for acts over an arbitrary monoid. Recently, the present author, together with M. Ebrahimi and M. Mahmoudi, published a paper (Comm. Algebra 35 (2007), 3912- 3918) giving for the acts over some classes of semigroups, the Baer Criterion is true. In this paper we find another classe of monoids such that for acts over them the Baer Criterion holds.

 
Keyword(s): SEQUENTIAL INJECTIVE, COMPLETENESS, ABSOLUTE RETRACT, CLIFFORD SEMIGROUP
 
 
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