Open Access
Subscription Access
Open Access
Subscription Access
Going Up and Going Down Relations for Partial Actions on Algebras
Subscribe/Renew Journal
In this article, we consider a K − algebra R with a partial action α of a finite group G on it. If each g Dg is generated by a central idempotent of R, we answer the question: If P1 ⊂ P2 are primes in R and P2 minimal over P2∩ Rα, does some prime P1 exist in Rα such that P1 is minimal over P2∩ Rα, and P1⊂p2? Similar results are proved by interchanging R and Rα.
Subscription
Login to verify subscription
User
Font Size
Information
- 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.
- Dokuchaev, M., Ferrero, M., Paques, A. (2007). Partial actions and Galois Theory. J. Pure Apll. Algebra 208:77-87.
- Montgomery, S. (1989). Prime ideals and Group actions in Noncommutative Algebras. Contemporary Mathematics 89:103-124.
- Sharma, R. P., Anu (Submitted in "Comm. in Algebra"). Prime ideals and partial group actions on Algebras.
Abstract Views: 694
PDF Views: 0