학술논문

On Torsionless and Dense Acts.
Document Type
Article
Author
Source
Semigroup Forum. 2001, Vol. 63 Issue 3, p396. 19p.
Subject
*MONOIDS
*TORSION theory (Algebra)
Language
ISSN
0037-1912
Abstract
Torsionless acts over a monoid S are investigated, in particular torsionless factor acts of 2-free and 1-free acts. Monoids over which free or projective acts are torsionless and vice versa are characterized. Some necessary conditions for torsionless acts to be principally weakly fiat, weakly fiat or strongly fiat are given. First results on dense acts are mentioned and several examples, mostly on the basis of coffee acts, are presented to illustrate these concepts. [ABSTRACT FROM AUTHOR]