Localisation in hereditary rings
نویسندگان
چکیده
منابع مشابه
Localisation in P.I. Rings
In order to localise with respect to some multiplicative set S in a noncommutative ring, certain conditions must be satisfied by S. When such conditions are satisfied, the resulting localisation is either a left or right localistion (as will be explained) but, in general, not both. The main aim of this paper is to show that in the case where R is a prime Noetherian P.I. ring, all localisations ...
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In the study of hereditary Noetherian rings, it is clear that hereditary Noetherian prime rings will play a central role (see, for example, [12]). Here we study the (two-sided) ideals of an hereditary Xoetherian prime ring and, as a consequence, ascertain the structure of factor rings and torsion modules. The torsion theory represents a generalization of similar results about Dedekind prime rin...
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Let $C$ be a semidualizing module. We first investigate the properties of finitely generated $G_C$-projective modules. Then, relative to $C$, we introduce and study the rings over which every submodule of a projective (flat) module is $G_C$-projective (flat), which we call $C$-Gorenstein (semi)hereditary rings. It is proved that every $C$-Gorenstein hereditary ring is both cohe...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1972
ISSN: 0021-8693
DOI: 10.1016/0021-8693(72)90105-6