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