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.
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