T (A)- Prime gamma subacts

Abstract

We consider an -act is a Gamma act over a γ-monoid with zero and is the -endomorphism of . A Gamma Act (S-set, operand, S-action, S-system) theory was introduced in 2016. And the concept of prime gamma subcat was introduced in 2016. And also this concept had been studied on Act theory. We introduced -Prime gamma subacts as a proper weakness of prime gamma subacts. We have given several equivalents to this concept and examples. We have found conditions to satisfy some properties of -Prime Gamma subacts.

Subject Classification:

• Primary 93A30
• Secondary 49K15

Keywords:

• Prime gamma subacts
• Fully stable
• Duo gamma subact