


Paper Title:
Partial Semigroup Algebras Associated to Partial Action
Author(s):
Bahman Tabatabaie Shourijeh and Sahar Moayeri Rahni
Department of Mathematics,
College of Sciences, Shiraz University,
Shiraz, 71454,
Iran.
Email:
tabataba@math.susc.ac.ir
Department of Mathematics,
College of Sciences, Shiraz University,
Shiraz, 71454,
Iran.
Email: smoayeri@shirazu.ac.ir
Abstract:
For a given inverse semigroup S, we introduce the notion of algebraic crossed product by using a given partial action of S, and we will prove that under some condition it is associative. Also we will introduce the concept of partial semigroup algebra K_{Par}(S), and we show that the suitable quotient of K_{Par}(S) is a kind of crossed product.
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