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

[1]

Adamek J., 1994, LOCALLY PRESENTABLE

[2] On Objects with a Semilocal Endomorphism Rings in Finitely Accessible Additive Categories [J].