The regular ring and the maximal ring of quotients of a finite Baer $^{\ast} $-ring.
نویسندگان
چکیده
منابع مشابه
On the Maximal Ring of Quotients of C(x)
1. Let QiX) denote the maximal ring of quotients (in the sense of Johnson [4] and Utumi [5]) of the ring C(X) of continuous realvalued functions on the completely regular Hausdorff space X, This ring has been studied by Fine, Gillman, and Lambek [ l] and realized by them as the direct limit of the subrings C(V), Va, dense open subset of X (i.e., the union of these C(F)'s, modulo the obvious equ...
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Let X, X′ be two locally finite, preordered sets and let R be any indecomposable commutative ring. The incidence algebra I(X,R), in a sense, represents X, because of the wellknown result that if the rings I(X,R) and I(X′,R) are isomorphic, then X and X′ are isomorphic. In this paper, we consider a preordered set X that need not be locally finite but has the property that each of its equivalence...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1974
ISSN: 0026-2285
DOI: 10.1307/mmj/1029001260