Localization in Abelian Categories

DOI10.1080/00927879008824036zbMath0711.18004OpenAlexW1516911862MaRDI QIDQ3495527

Toyonori Kato, Tamotsu Ikeyama

Publication date: 1990

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879008824036

zbMATH Keywords

localizationabelian categorytorsion theory

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Localization of categories, calculus of fractions (18E35)

Related Items

Abelian torsion theories with localization, Left exact torsion theories, Abelianization and orthogonal complements of additive categories, On the localization of a ring at torsion theories

Cites Work

• Colocalization and localization in Abelian categories
• Torsion theories, additive semantics, and rings of quotients. With an appendix by H. H. Storrer on torsion theories and dominant dimensions
• Left exact torsion theories
• Splitting torsion theories
• Finitely hereditary torsion theories
• Cotorsion Theories and Colocalization