Tilting modules over almost perfect domains

Jawad Abuhlail; Mohammad Jarrar

doi:10.1016/j.jpaa.2010.11.013

Tilting modules over almost perfect domains

Jawad Abuhlail^*
, Mohammad Jarrar

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We provide a complete classification of all tilting modules and tilting classes over almost perfect domains, which generalizes the classifications of tilting modules and tilting classes over Dedekind and 1-Gorenstein domains. Assuming the APD is Noetherian, a complete classification of all cotilting modules is obtained (as duals of the tilting ones).

Original language	English
Pages (from-to)	2024-2033
Number of pages	10
Journal	Journal of Pure and Applied Algebra
Volume	215
Issue number	8
DOIs	https://doi.org/10.1016/j.jpaa.2010.11.013
State	Published - Aug 2011

Bibliographical note

Funding Information:
We thank the referee for her/his useful comments and suggestions, Prof. L. Salce for suggesting the problem to us, and Prof. J. Trlifaj for useful discussions on titling modules during his visit to KFUPM in 2006 and for the several preprints/papers on the subject he provided us with. The authors would like to acknowledge the support provided by the Deanship of Scientific Research (DSR) at King Fahd University of Petroleum & Minerals (KFUPM) for funding this work through project No. IN070351.

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jpaa.2010.11.013

Cite this

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title = "Tilting modules over almost perfect domains",

abstract = "We provide a complete classification of all tilting modules and tilting classes over almost perfect domains, which generalizes the classifications of tilting modules and tilting classes over Dedekind and 1-Gorenstein domains. Assuming the APD is Noetherian, a complete classification of all cotilting modules is obtained (as duals of the tilting ones).",

author = "Jawad Abuhlail and Mohammad Jarrar",

note = "Funding Information: We thank the referee for her/his useful comments and suggestions, Prof. L. Salce for suggesting the problem to us, and Prof. J. Trlifaj for useful discussions on titling modules during his visit to KFUPM in 2006 and for the several preprints/papers on the subject he provided us with. The authors would like to acknowledge the support provided by the Deanship of Scientific Research (DSR) at King Fahd University of Petroleum \& Minerals (KFUPM) for funding this work through project No. IN070351.",

year = "2011",

month = aug,

doi = "10.1016/j.jpaa.2010.11.013",

language = "English",

volume = "215",

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journal = "Journal of Pure and Applied Algebra",

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T1 - Tilting modules over almost perfect domains

AU - Abuhlail, Jawad

AU - Jarrar, Mohammad

N1 - Funding Information: We thank the referee for her/his useful comments and suggestions, Prof. L. Salce for suggesting the problem to us, and Prof. J. Trlifaj for useful discussions on titling modules during his visit to KFUPM in 2006 and for the several preprints/papers on the subject he provided us with. The authors would like to acknowledge the support provided by the Deanship of Scientific Research (DSR) at King Fahd University of Petroleum & Minerals (KFUPM) for funding this work through project No. IN070351.

PY - 2011/8

Y1 - 2011/8

N2 - We provide a complete classification of all tilting modules and tilting classes over almost perfect domains, which generalizes the classifications of tilting modules and tilting classes over Dedekind and 1-Gorenstein domains. Assuming the APD is Noetherian, a complete classification of all cotilting modules is obtained (as duals of the tilting ones).

AB - We provide a complete classification of all tilting modules and tilting classes over almost perfect domains, which generalizes the classifications of tilting modules and tilting classes over Dedekind and 1-Gorenstein domains. Assuming the APD is Noetherian, a complete classification of all cotilting modules is obtained (as duals of the tilting ones).

UR - https://www.scopus.com/pages/publications/79952533971

U2 - 10.1016/j.jpaa.2010.11.013

DO - 10.1016/j.jpaa.2010.11.013

M3 - Article

AN - SCOPUS:79952533971

SN - 0022-4049

VL - 215

SP - 2024

EP - 2033

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 8

ER -

Tilting modules over almost perfect domains

Abstract

Bibliographical note

ASJC Scopus subject areas

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Cite this