The number of generators of a module over a fully bounded ring

DOI10.1016/0021-8693(80)90096-4zbMath0449.16011OpenAlexW1994540687MaRDI QIDQ1147204

Robert B. jun. Warfield

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90096-4

zbMATH Keywords

Krull dimensionfinitely generated right modulenumber of generators of a modulefully bounded noetherian ringsprime rings of Krull dimension onestable number of generators

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Representation theory of associative rings and algebras (16Gxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items

Projective modules over polynomial extensions of division rings, Generating modules efficiently: Algebraic K-theory for noncommutative Noetherian rings, State spaces of \(K_ 0\) of Noetherian rings, On the Ideals of a Noetherian Ring, Hereditary Noetherian prime rings. III: Infinitely generated projective modules, Semiprime graded algebras of dimension two, On the number of generators of an algebra, Globalization of local epimorphisms, The basic element theorem for fully bounded rings and some applications, Generating Modules Efficiently Over Noncommutative Noetherian Rings, Presentations over HNP rings with enough invertible ideals and torsionfree cancellation over neoclassical orders, Hereditary Noetherian prime rings. II: Finitely generated projective modules

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