Embedding of Noetherian rings into faithful modules

DOI10.1215/KJM/1250521475zbMath0534.13005OpenAlexW1482019252MaRDI QIDQ790187

Kikumichi Yamagishi

Publication date: 1983

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250521475

zbMATH Keywords

Noetherian ringinjective envelopeassociate prime idealembedding in finitely generated faithful moduleGorenstein quotient ringhomomorphic image of a Gorenstein ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Extension theory of commutative rings (13B02) Other special types of modules and ideals in commutative rings (13C13)

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