The Regular Ring and the Maximal Ring of Quotients of a Finite Baer *-Ring
Copyright policy )The Regular Ring and the Maximal Ring of Quotients of a Finite Baer *-Ring
Necessary and sufficient conditions are obtained for extending the involution of a Baer ∗ \ast -ring to its maximal ring of quotients. Berberian’s construction of the regular ring of a Baer ∗ \ast -ring is generalized and this ring is identified (under suitable hypotheses) with the maximal ring of quotients.
Localization and associative Noetherian rings, Rings with involution; Lie, Jordan and other nonassociative structures, von Neumann regular rings and generalizations (associative algebraic aspects), Chain conditions on annihilators and summands: Goldie-type conditions
Localization and associative Noetherian rings, Rings with involution; Lie, Jordan and other nonassociative structures, von Neumann regular rings and generalizations (associative algebraic aspects), Chain conditions on annihilators and summands: Goldie-type conditions
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