RESEARCH ARTICLE

Involution rings with unique minimal *-biideal

D. I. C. Mendes

Department of Mathematics, University of Beira Interior, Covilhã, Portugal

Abstract: The structure of certain involution rings which have exactly one minimal *-biideal is determined. In addition, involution rings with identity having a unique maximal biideal are characterized.

Keywords: involution, biideal, nilpotent ring, local ring, subdirectly irreducible ring, Jacobson radical.

MSC: Primary 16W10; Secondary 16D25, 16N20

Received: 31.10.2012
Revised: 04.07.2015

Language: English

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