PURE CLOSED SUBOBJECTS AND PURE QUOTIENT GOLDIE DIMENSION

被引：2

作者：

Berktas, Mustafa Kemal ^{[1
]}

Dogruoz, Semra ^{[2
]}

Tarhan, Azime ^{[2
]}

机构：

[1] Usak Univ, Usak, Turkey

[2] Adnan Menderes Univ, Aydin, Turkey

来源：

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2019年 / 41卷 / 01期

关键词：

closed submodule; pure closed subobject; pure Goldie dimension; pure quotient Goldie dimension; MODULES;

D O I：

10.17654/NT041010049

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we introduce pure closed subobjects, strongly pure closed subobjects and pure quotient Goldie dimension in finitely accessible additive categories. Then we give a generalization of a classical dimension formula with respect to their pure closed subobjects. We prove that in this category every strongly pure closed subobject of a pure quotient finite dimensional object of every class of objects closed under direct limits and pure epimorphic images has a semilocal endomorphism ring.

引用

页码：49 / 57

页数：9

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