Going up and Going down relations for Partial Actions on Algebras

R. P. Sharma and Anu

Department of Mathematics, Himachal Pradesh University, Summerhill, Shimla-5

*Corresponding Author:

ABSTRACT:

In this article, we consider a algebra with a partial action of a finite group on it. If each is generated by a central idempotent of we answer the question: If are primes in and in with minimal over does some prime exist in such that is minimal over and ? Similar results are proved by interchanging and

KEY WORDS:

INTRODUCTION:

REFERENCE:

1. Dokuchaev, M., Exel, R. (2005). Associativity of crossed products by partial actions, enveloping actions and partial representations. Trans. Amer. Math. Society 357(5):1931-1952.

2. Dokuchaev, M., Ferrero, M., Paques, A. (2007). Partial actions and Galois Theory. J. Pure Apll. Algebra 208:77-87.

3. Montgomery, S. (1989). Prime ideals and Group actions in Non-commutative Algebras. Contemporary Mathematics 89:103-124.

4. Sharma, R. P., Anu (Submitted in "Comm. in Algebra"). Prime ideals and partial group actions on Algebras.

Received on 22.01.2013 Accepted on 12.02.2013

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Research J. Science and Tech 5(1): Jan.-Mar.2013 page 144-147