On a consequence of the order ideal conjecture

S. P. Dutta

doi:10.1016/j.jpaa.2014.05.006

On a consequence of the order ideal conjecture

S. P. Dutta

Mathematics

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

Abstract

Given a minimal set of generators x of an ideal I of height d in a regular local ring (R, m, k), we prove several cases for which the map Kd(x;R)⊗k→TordR(R/I,k) is the 0-map. As a consequence of the order ideal conjecture, we derive several cases for which Kd+i(x;R)⊗k→Tord+iR(R/I,k) are 0-maps for i≥. 0.

Original language	English (US)
Pages (from-to)	482-487
Number of pages	6
Journal	Journal of Pure and Applied Algebra
Volume	219
Issue number	3
DOIs	https://doi.org/10.1016/j.jpaa.2014.05.006
State	Published - Mar 1 2015

ASJC Scopus subject areas

Algebra and Number Theory

Online availability

10.1016/j.jpaa.2014.05.006

Library availability

Discover UIUC Full Text

Cite this

@article{baeffd2195624c5db0a96a43bead9cb4,

title = "On a consequence of the order ideal conjecture",

abstract = "Given a minimal set of generators x of an ideal I of height d in a regular local ring (R, m, k), we prove several cases for which the map Kd(x;R)⊗k→TordR(R/I,k) is the 0-map. As a consequence of the order ideal conjecture, we derive several cases for which Kd+i(x;R)⊗k→Tord+iR(R/I,k) are 0-maps for i≥. 0.",

author = "Dutta, \{S. P.\}",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier B.V.",

year = "2015",

month = mar,

day = "1",

doi = "10.1016/j.jpaa.2014.05.006",

language = "English (US)",

volume = "219",

pages = "482--487",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier B.V.",

number = "3",

}

TY - JOUR

T1 - On a consequence of the order ideal conjecture

AU - Dutta, S. P.

PY - 2015/3/1

Y1 - 2015/3/1

N2 - Given a minimal set of generators x of an ideal I of height d in a regular local ring (R, m, k), we prove several cases for which the map Kd(x;R)⊗k→TordR(R/I,k) is the 0-map. As a consequence of the order ideal conjecture, we derive several cases for which Kd+i(x;R)⊗k→Tord+iR(R/I,k) are 0-maps for i≥. 0.

AB - Given a minimal set of generators x of an ideal I of height d in a regular local ring (R, m, k), we prove several cases for which the map Kd(x;R)⊗k→TordR(R/I,k) is the 0-map. As a consequence of the order ideal conjecture, we derive several cases for which Kd+i(x;R)⊗k→Tord+iR(R/I,k) are 0-maps for i≥. 0.

UR - https://www.scopus.com/pages/publications/84918775591

UR - https://www.scopus.com/pages/publications/84918775591#tab=citedBy

U2 - 10.1016/j.jpaa.2014.05.006

DO - 10.1016/j.jpaa.2014.05.006

M3 - Article

AN - SCOPUS:84918775591

SN - 0022-4049

VL - 219

SP - 482

EP - 487

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 3

ER -

On a consequence of the order ideal conjecture

Abstract

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this