Extensions of three classical theorems to modules with maximum condition for finite matrix subgroups

DOI10.1515/form.10.3.377zbMath0937.16034OpenAlexW2142488534MaRDI QIDQ4392530

Wolfgang Zimmermann

Publication date: 4 November 1999

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

Full work available at URL: https://epub.ub.uni-muenchen.de/17906/1/form.10.3.377.pdf

zbMATH Keywords

Artin-Rees lemmaHilbert basis theoremKrull intersection theorem\(\Sigma\)-pure-injective modulesascending chain condition on finite matrix subgroupsdescending chain condition on finite matrix subgroupspp-definable subgroups

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Injective modules, self-injective associative rings (16D50) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70) Applications of logic in associative algebras (16B70) Chain conditions, finiteness conditions in commutative ring theory (13E99)

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