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MINIMAL NONCOMMUTATIVE REVERSIBLE AND REFLEXIVE RINGS

2011
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Bulletin of the Korean Mathematical Society
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The reflexiveness and reversibility were introduced by Mason and Cohn respectively. The structures of minimal reversible rings and minimal reflexive rings are completely determined. The term minimal means having smallest cardinality. Throughout this note all rings are associative with identity unless otherwise stated. Let R be a ring. The n by n full (resp. upper triangular) matrix ring over R is denoted by Mat n (R) (resp. U n (R)). Let J(R) denote the Jacobson radical of R. Z n denotes the

doi:10.4134/bkms.2011.48.3.611
fatcat:5orpooidnjfdjaduzqbm6kz37a