On ?-minimal ?-ideals and ?-biideals in involution rings |
| |
Authors: | Usama A Aburawash |
| |
Institution: | 1.Department of Mathematics, Faculty of Science,Alexandria University,Alexandria,Egypt |
| |
Abstract: | For semiprime involution rings, we determine some ∗-minimal ∗-ideals using idempotent elements. Nevertheless, ∗-minimal ∗-biideals
are characterized by idempotent elements. Moreover, the involutive version of a theorem due to Steinfeld, which investigates
a semiprime involution ring A if A=SocA, is given. Finally, semiprime involution rings having no proper nonzero ∗-biideals are characterized. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|