Power cancellation of modules

DOI10.2140/pjm.1986.124.131zbMath0594.13007OpenAlexW2120388241MaRDI QIDQ1076733

Robert M. Guralnick

Publication date: 1986

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1986.124.131

zbMATH Keywords

Dedekind domainintegral closurepower cancellation

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05)

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Power-substitution,exchange rings and unit II-regularity ⋮ The genus of a module. II: Roiter's theorem, power cancellation and extension of scalars ⋮ Cancellation and direct summands in dimension 1 ⋮ Direct sum cancellation for modules over one-dimensional rings ⋮ The Jordan-Zassenhaus theorem and direct decompositions