On ∗-minimal ∗-ideals and ∗-biideals in involution rings |
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| Authors: | Usama A Aburawash |
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| Institution: | 1.Department of Mathematics, Faculty of Science,Alexandria University,Alexandria,Egypt |
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| 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. |
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