FUZZY INJECTIVE S-ACT ON MONOIDS

FUZZY INJECTIVE S-ACT ON MONOIDS

A. S. A. Kareem, S. R. Salih

[PDF]

Abstract

The fuzzy injectivity and their generalizations on R-modules were studied by many authors. It is well known that the act of semigroups or monoids is a gener- alization of R-modules, here we will dene the fuzzy injective S-acts or S-systems and studied some of their properties rst we discuss when the subacts of fuzzy S-acts is fuzzy injective S-act , we studied the retracts ,the factor fuzzy injective S-act and nally we studied their direct product.

Keywords

Semigroups, S-acts, injectivity, fuzzy subsets, fuzzy injectivity.