On pure Goldie dimensions

被引:4
作者
Berktas, Mustafa Kemal [1 ]
机构
[1] Usak Univ, Dept Math, Usak, Turkey
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.
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页码:3334 / 3339
页数:6
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