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| Titel: |
*-Prime Group Algebras |
| Auteur: |
Joshi, Kanchan Sharma, R. K. Srivastava, J. B. |
| Verschenen in: |
Communications in algebra |
| Paginering: | Jaargang 35 (2007) nr. 11 pagina's 3673-3682 |
| Jaar: |
2007-11 |
| Inhoud: |
An associative algebra R over a field K is said to be right *-prime if for every nonzero r ∈ R, there exists a finitely generated subalgebra S of R such that rSt = 0 implies t = 0. Clearly, strongly prime implies *-prime and *-prime implies prime. A large number of examples of group algebras are given which show that the concept of *-prime lies strictly between prime and strongly prime. A complete characterization of *-prime group algebras is given. It is proved that a group algebra KG of the group G over the field K is *-prime if and only if Λ+(G) = (1). Intersection theorems play an important role in the study. In the process, a new intersection theorem for *-prime group algebras is obtained. Elementwise characterization of the *-prime radical is given and its relation with some well-known radicals is discussed. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 26 van 32 gevonden artikelen
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