Characterization of One Radical of Group Rings over Finite Prime Fields |
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Authors: | Kornev A. I. Pavlova T. V. |
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Abstract: | We study complete and reduced associative rings (in the sense of L. M. Martynov). We prove a necessary and sufficient test for completeness of a semigroup ring, calculate the greatest complete subring (which is an ideal) of a group ring over finite prime fields, and characterize the reduced group rings of finite groups over finite prime fields. |
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Keywords: | group ring semigroup ring complete ring Kurosh--Amitsur radical |
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