Divisibility and Factorization of Kernel Functors

DOI10.1081/AGB-200027798zbMath1082.16035OpenAlexW2003046863MaRDI QIDQ3158355

Jorge E. Viola-Prioli, Ana M. da Rocha de Viola-Prioli

Publication date: 24 January 2005

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

Full work available at URL: https://doi.org/10.1081/agb-200027798

zbMATH Keywords

valuation ringsirreducible elementslattices of idealsright chain ringscanonical decompositionstopologizing filterskernel functors

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Valuation rings (13F30) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ideals in associative algebras (16D25) Divisibility, noncommutative UFDs (16U30) Torsion theory for commutative rings (13D30)

Cites Work

• Unnamed Item
• When multiplication of topologizing filters is commutative
• Module categories with linearly ordered closed subcategories
• Ducompact filters and prime kernal functors
• When every torsion preradical is a torsion radical
• Generalized Discrete Valuation Rings
• Rings and modules of quotients
• Duprime and dusemiprime modules

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