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On pure Goldie dimensions
Authors:Mustafa Kemal Berktaş
Affiliation:1. Department of Mathematics, U?ak University, U?ak, Turkeymkb@usak.edu.tr
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.
Keywords:Accessible categories  Camps–Dicks theorem  dual pure Goldie dimension  pure Goldie dimension
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