Some aspects about the lattice [τ g ,χ] and the torsion theories of Kaplansky-type

DOI10.1080/00927872.2023.2203751MaRDI QIDQ6164555

José Ríos Montes, Jaime Castro Pérez, G. Tapia Sánchez

Publication date: 28 July 2023

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

zbMATH Keywords

regular ringGoldie torsion theorytorsion theoryBaer ringself-injective ringKaplansky-types

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Cites Work

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• On the lattice structure of torsion theories
• On the Ring of Quotients of a Boolean Ring
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• Dimension theory for nonsingular injective modules
• A Torsion Theory for Abelian Categories
• Des catégories abéliennes
• On the Atomic Dimension in Module Categories
• Injective Structures

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