The behavior of ascending chain conditions on submodules of bounded finite generation in direct sums

DOI10.1007/S11856-016-1381-YzbMath1370.16013OpenAlexW2525845207MaRDI QIDQ502986

Pace P. Nielsen

Publication date: 11 January 2017

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

Full work available at URL: https://doi.org/10.1007/s11856-016-1381-y

zbMATH Keywords

Morita invarianceright pan-acc property

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Cites Work

• Sur les modules tels que toute suite croissante de sous-modules engendres par n générateurs soit stationnaire
• The diamond lemma for ring theory
• Rings whose free modules satisfy the ascending chain condition on submodules with a bounded number of generators
• Commutative rings with ACC on n-generated ideals
• Free ideal rings
• The theory of well-quasi-ordering: a frequently discovered concept
• Noetherian rings whose subidealizer subrings have pan-a.c.c
• A COUNTEREXAMPLE CONCERNING ACCP IN POWER SERIES RINGS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The behavior of ascending chain conditions on submodules of bounded finite generation in direct sums