Local morphisms and modules with a semilocal endomorphism ring

被引：31

作者：

Facchini, Alberto

Herbera, Dolors

机构：

[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2006年 / 9卷 / 04期

关键词：

local morphism; endomorphism ring; semilocal ring; spectral category;

D O I：

10.1007/s10468-006-9011-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study local morphisms in the setting of general noncommutative rings. In particular, we apply local morphisms to study endomorphism rings of modules. We use our constructions to determine classes of modules with semilocal endomorphism rings. For instance, we prove that every finitely presented right module over a semilocal ring has a semilocal endomorphism ring.

引用

页码：403 / 422

页数：20

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[2]

[Anonymous], 1998, PROGR MATH, V167

[3]

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