Gabriel topologies on Dubrovin valuation rings

DOI10.1017/S0017089501030117zbMath0996.16021OpenAlexW2152072578MaRDI QIDQ2777586

Yang Zhang, Hidetoshi Marubayashi

Publication date: 24 July 2002

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089501030117

zbMATH Keywords

valuation ringshereditary torsion theoriesprime idealscogeneratorsindecomposable injective modulesGabriel topologiesorders in simple Artinian ringsradical filters

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Artinian rings and modules (associative rings and algebras) (16P20) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

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