On the existence of maximal \(\mathcal{S}\)-closed submodules

DOI10.4171/RSMUP/136-18zbMath1362.16001OpenAlexW2563792131MaRDI QIDQ509936

Ulrich F. Albrecht

Publication date: 15 February 2017

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rsmup/136-18

zbMATH Keywords

primitive idempotents\(\mathcal{S}\)-closed submodulereduced ring

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) General module theory in associative algebras (16D10) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)