Unique decompositions into regular ideals for Marot rings

DOI10.1080/00927872.2022.2084552zbMath1498.13056OpenAlexW4282930777MaRDI QIDQ5038113

Ezgi Gürbüz, Basak Ay Saylam

Publication date: 29 September 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2022.2084552

zbMATH Keywords

valuation ringsMarot rings\(h\)-local ringsregular localization

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Valuation rings (13F30) Rings of fractions and localization for commutative rings (13B30) Arithmetic rings and other special commutative rings (13F99)

Cites Work

• Unique decomposition into ideals for commutative Noetherian rings
• Sur les anneaux universellement japonais
• Integral closure of a marot ring whose regular ideals are finitely generated^*
• Commutative Algebra
• Unique decomposition into ideals for reduced commutative Noetherian rings
• Extension of valuation theory
• Unique decompositions into ideals for noetherian domains.
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