On Steinitz properties

DOI10.1007/BF01196854zbMath0766.16005MaRDI QIDQ1193259

Warren D. Nichols, Budh Singh Nashier

Publication date: 27 September 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

finitely generatedfinite linearly independentleft Steinitz ringsperfect local ringsreduced \(n\)- dimensional semi-Steinitz ringreduced \(n\)-dimensional local ringSteinitz propertiesweakly left semi- Steinitz rings

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Projective and free modules and ideals in commutative rings (13C10) Projectives and injectives (category-theoretic aspects) (18G05) Noncommutative local and semilocal rings, perfect rings (16L30) Other classes of modules and ideals in associative algebras (16D80)

Related Items (5)

Unnamed Item ⋮ Erratum to ``A unified approach to the plus-construction, Bousfield localization, Moore spaces and zero-in-the-spectrum examples ⋮ Weakly based modules over Dedekind domains ⋮ On Steinitz-like properties in amalgamated algebras along an ideal ⋮ Projective covers over local rings

Cites Work

• Unnamed Item
• Projective modules
• Serre's conjecture
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Projective Modules Over Rings with Many Units
• On the Extension of Linearly Independent Subsets of Free Modules to Bases
• A Homological Characterization of Steinitz Rings
• Local Rings with Left Vanishing Radical

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