The regular ring and the maximal ring of quotients of a finite Baer *-ring

Pyle, Ernest S.

doi:10.1090/S0002-9947-1975-0364338-9

The regular ring and the maximal ring of quotients of a finite Baer $^{\ast }$-ring
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Trans. Amer. Math. Soc. 203 (1975), 201-213 Request permission

Abstract:

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.

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On maximal rings of quotients of finite Baer $^\ast$-rings

Sur l’anneau maximal de fractions des $A{W^ \ast }$-algbrees et des anneaux de Baer

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