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Characterizations of regular local rings...

Ghosh, Dipankar...

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Characterizations of regular local rings via syzygy modules of the residue field by Ghosh, Dipankar ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	25-11-2015
Summary	Let R be a commutative Noetherian local ring with residue field k. We show that if a finite direct sum of syzygy modules of k surjects onto `a semidualizing module' or `a non-zero maximal Cohen-Macaulay module of finite injective dimension', then R is regular. We also prove that R is regular if and only if some syzygy module of k has a non-zero direct summand of finite injective dimension.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1511.08012

Citation

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AMA 11th EditionReferences

Ghosh, Dipankar. Characterizations of regular local rings via syzygy modules of the residue field. N.A. November 25, 2015. Accessed August 08, 2025. https://online.provdatabase.com/cite/22681

APA 7th EditionReferences

Ghosh, Dipankar. (2015). Characterizations of regular local rings via syzygy modules of the residue field. N.A. https://online.provdatabase.com/cite/22681

Chicago 17th EditionReferences

Ghosh, Dipankar. Characterizations of regular local rings via syzygy modules of the residue field. N.A. 2015. https://online.provdatabase.com/cite/22681

HarvardReferences

Ghosh, Dipankar. (2015). Characterizations of regular local rings via syzygy modules of the residue field. [Online]. N.A. Available from: https://online.provdatabase.com/cite/22681. (Accessed 08 August 2025).

Harvard AustraliaReferences

Ghosh, Dipankar, 2015, Characterizations of regular local rings via syzygy modules of the residue field, N.A, viewed 08 August 2025, <https://online.provdatabase.com/cite/22681>

MLA 9th EditionWorks Cited

Ghosh, Dipankar. Characterizations of regular local rings via syzygy modules of the residue field. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/22681.

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