Cardinality of generating sets for modules over a commutative ring.

DOI10.7146/math.scand.a-11992zbMath0512.13010OpenAlexW2534321832MaRDI QIDQ4750763

Robert Gilmer, William J. Heinzer

Publication date: 1983

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/166830

zbMATH Keywords

Noetherian domainPruefer domainJonsson modulecardinality conditionsd.c.c.generating set for a moduleJonsson alpha-generated module

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (9)

On $+\infty$-$\omega_0$-generated field extensions ⋮ On modules \(M\) for which \(N\cong M\) for every submodule \(N\) of size \(|M|\) ⋮ Jónsson extensions of one-dimensional semilocal domains ⋮ On Jónsson algebras over a commutative ring ⋮ Jonsson and HS modules over commutative rings ⋮ More results on congruent modules ⋮ Commutative rings with ACC on n-generated ideals ⋮ N-rings and ACC on colon ideals ⋮ Artinian modules and modules of which all proper submodules are finitely generated

This page was built for publication: Cardinality of generating sets for modules over a commutative ring.