On pure Goldie dimensions

BERKTAŞ M. K.

Communications in Algebra, vol.45, no.8, pp.3334-3339, 2017 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 8
  • Publication Date: 2017
  • Doi Number: 10.1080/00927872.2016.1236387
  • Journal Name: Communications in Algebra
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3334-3339
  • Keywords: Accessible categories, Camps–Dicks theorem, dual pure Goldie dimension, pure Goldie dimension
  • Uşak University Affiliated: Yes

Abstract

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 A that has finite pure Goldie dimension n and finite dual pure Goldie dimension m, then EndA(A) is semilocal and the dual Goldie dimension of EndA(A) is less than or equal to n+m.