On modules which are flat over their endomorphism rings
نویسندگان
چکیده
منابع مشابه
Endomorphism Rings of Modules over Prime Rings
Endomorphism rings of modules appear as the center of a ring, as the fix ring of a ring with group action or as the subring of constants of a derivation. This note discusses the question whether certain ∗-prime modules have a prime endomorphism ring. Several conditions are presented that guarantee the primeness of the endomorphism ring. The contours of a possible example of a ∗-prime module who...
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The object of this paper is to study the relationship between certain projective modules and their endomorphism rings. Specifically, the basic problem is to describe the projective modules whose endomorphism rings are (von Neumann) regular, local semiperfect, or left perfect. Call a projective module regular if every cyclic submodule is a direct summand. Thus a ring is a regular module if it is...
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Let K be a field of characteristic two, and let λ be a two-part partition of some natural number r. Denote the permutation module corresponding to the (maximal) Young subgroup Σλ in Σr byM . We construct a full set of orthogonal primitive idempotents of the centraliser subalgebra SK(λ) = 1λSK(2, r)1λ = EndKΣr (M ) of the Schur algebra SK(2, r). These idempotents are naturally in one-to-one corr...
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This article is a survey of modules whose endomorphism rings are Dedekind finite, Hopfian or co-Hopfian. We summarise the properties of such modules and present unified proofs of known results and generalisations to new structure theorems. MSC 2010. 16S50, 16D80.
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A ring R is called left GF-closed, if the class of all Gorenstein flat left Rmodules is closed under extensions. The class of left GF-closed rings includes strictly the one of right coherent rings and the one of rings of finite weak dimension. In this paper, we investigate the Gorenstein flat dimension over left GF-closed rings. Namely, we generalize the fact that the class of all Gorenstein fl...
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 1978
ISSN: 0385-4035
DOI: 10.14492/hokmj/1381758443