Purities and pure injective modules over serial, right Noetherian rings.

DOI10.1023/B:JOTH.0000042315.64899.9AzbMath1070.16024OpenAlexW2059994054WikidataQ114113076 ScholiaQ114113076MaRDI QIDQ1781750

I. M. Zil'berbord

Publication date: 28 June 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:joth.0000042315.64899.9a

zbMATH Keywords

finitely generated modulesdirect sumspure injective modulesleft serial modulesserial right Noetherian rings

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Noetherian rings and modules (associative rings and algebras) (16P40) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

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Stacked decomposition theorem for modules over serial left Noetherian rings

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