Descending chains of modules and Jordan-Hölder theorem.

DOI10.1007/S00233-003-0019-7zbMath1077.20070OpenAlexW2087214897MaRDI QIDQ1882654

Luca Diracca, Alberto Facchini

Publication date: 1 October 2004

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-003-0019-7

zbMATH Keywords

modulesintegral domainsKrull-Schmidt theoremJordan-Hölder theoremunique factorization domainsfree commutative monoids

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Integral domains (13G05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Abelian categories, Grothendieck categories (18E10)

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