On pure Goldie dimensions

被引：4

作者：

Berktas, Mustafa Kemal ^{[1
]}

机构：

[1] Usak Univ, Dept Math, Usak, Turkey

来源：

COMMUNICATIONS IN ALGEBRA | 2017年 / 45卷 / 08期

关键词：

Accessible categories; Camps-Dicks theorem; dual pure Goldie dimension; pure Goldie dimension; SEMILOCAL ENDOMORPHISM RING; ADDITIVE CATEGORIES; ABELIAN CATEGORIES; UNIQUENESS; MODULES; OBJECTS;

D O I：

10.1080/00927872.2016.1236387

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we examine the pure Goldie dimension and dual pure Goldie dimension in finitely accessible additive categories. In particular, we show that if A is an object in a finitely accessible additive category ? that has finite pure Goldie dimension n and finite dual pure Goldie dimension m, then End(?)(A) is semilocal and the dual Goldie dimension of End(?)(A) is less than or equal to n+m.

引用

页码：3334 / 3339

页数：6

共 17 条

[11] Local morphisms and modules with a semilocal endomorphism ring
Facchini, Alberto
Herbera, Dolors
[J]. ALGEBRAS AND REPRESENTATION THEORY, 2006, 9 (04) : 403 - 422
[12] Modules with semi-local endomorphism ring
Herbera, D
Shamsuddin, A
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (12) : 3593 - 3600
[13] PURE-INJECTIVE ENVELOPES
Herzog, Ivo
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2003, 2 (04) : 397 - 402
[14] Kasch F., 1982, Modules and Rings
[15] Uniqueness of uniform decompositions in abelian categories
Krause, H
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2003, 183 (1-3) : 125 - 128
[16] Stenstrom B., 1975, Rings of Quotients
[17] Xu J., 1996, LECT NOTES MATH, V1634

← 1 2 →