Local Rings of Embedding Codepth at Most 3 Have Only Trivial Semidualizing Complexes

Saeed Nasseh; Sean Sather-Wagstaff

Local Rings of Embedding Codepth at Most 3 Have Only Trivial Semidualizing Complexes

Saeed Nasseh, Sean Sather-Wagstaff

Mathematical Sciences

Clemson University

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

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Abstract

We prove that a local ring R of embedding codepth at most 3 has at most two semidualizing complexes up to shift-isomorphism, namely, R itself and a dualizing R-complex if one exists.

Original language	American English
Journal	arXIV.org Repository
State	Published - Dec 31 2013

Disciplines

Education
Mathematics

Keywords

Embedding codepth
Local rings
Trivial semidualizing complexes

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Local Rings of Embedding Codepth at Most 3 Have Only Trivial SemiFinal published version, 251 KBLicense: Unspecified

Cite this

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title = "Local Rings of Embedding Codepth at Most 3 Have Only Trivial Semidualizing Complexes",

abstract = " We prove that a local ring R of embedding codepth at most 3 has at most two semidualizing complexes up to shift-isomorphism, namely, R itself and a dualizing R-complex if one exists.",

keywords = "Embedding codepth, Local rings, Trivial semidualizing complexes",

author = "Saeed Nasseh and Sean Sather-Wagstaff",

year = "2013",

month = dec,

day = "31",

language = "American English",

journal = "arXIV.org Repository",

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TY - JOUR

T1 - Local Rings of Embedding Codepth at Most 3 Have Only Trivial Semidualizing Complexes

AU - Nasseh, Saeed

AU - Sather-Wagstaff, Sean

PY - 2013/12/31

Y1 - 2013/12/31

N2 - We prove that a local ring R of embedding codepth at most 3 has at most two semidualizing complexes up to shift-isomorphism, namely, R itself and a dualizing R-complex if one exists.

AB - We prove that a local ring R of embedding codepth at most 3 has at most two semidualizing complexes up to shift-isomorphism, namely, R itself and a dualizing R-complex if one exists.

KW - Embedding codepth

KW - Local rings

KW - Trivial semidualizing complexes

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/419

M3 - Article

JO - arXIV.org Repository

JF - arXIV.org Repository

ER -

Local Rings of Embedding Codepth at Most 3 Have Only Trivial Semidualizing Complexes

Abstract

Disciplines

Keywords

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