Pure Goldie dimensions for exactly definable categories

DOI10.1007/S41980-020-00508-0zbMath1483.18010OpenAlexW3128636244MaRDI QIDQ2119272

Mustafa Kemal Berktaş

Publication date: 29 March 2022

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-020-00508-0

zbMATH Keywords

pure injective envelopepure Goldie dimensionpure copresented object

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Accessible and locally presentable categories (18C35)

Cites Work

• Local morphisms and modules with a semilocal endomorphism ring.
• On objects with a semilocal endomorphism rings in finitely accessible additive categories
• Exactly definable categories
• Uniqueness of uniform decompositions in abelian categories
• Definable additive categories: purity and model theory
• Locally finitely presented additive categories
• On pure Goldie dimensions
• PURE CLOSED SUBOBJECTS AND PURE QUOTIENT GOLDIE DIMENSION

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