On Modules Whose Proper Homomorphic Images Are of Smaller Cardinality

DOI10.4153/CMB-2011-120-0zbMath1239.13015WikidataQ122236761 ScholiaQ122236761MaRDI QIDQ2888792

Adam Salminen, Greg G. Oman

Publication date: 4 June 2012

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: http://cms.math.ca/10.4153/CMB-2011-120-0

zbMATH Keywords

continuum hypothesisvaluation ringresidually finite ringnoetherian ringcardinal numberJonsson module

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Continuum hypothesis and Martin's axiom (03E50) General commutative ring theory (13A99) Generic absoluteness and forcing axioms (03E57)

Related Items (7)

Residually small commutative rings ⋮ Residual smallness in commutative algebra ⋮ Strongly Jónsson and strongly HS modules ⋮ Jonsson and HS modules over commutative rings ⋮ SMALL AND LARGE IDEALS OF AN ASSOCIATIVE RING ⋮ Modules Which are Isomorphic to Their Factor Modules ⋮ On the existence of maximal subrings in commutative noetherian rings

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