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