The Ideal Intersection Property for Groupoid Graded Rings

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Standard

The Ideal Intersection Property for Groupoid Graded Rings. / Öinert, Per Johan; Lundström, Patrik.

I: Communications in Algebra, Bind 40, Nr. 5, 2012, s. 1860-1871.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Öinert, PJ & Lundström, P 2012, 'The Ideal Intersection Property for Groupoid Graded Rings', Communications in Algebra, bind 40, nr. 5, s. 1860-1871. https://doi.org/10.1080/00927872.2011.559181

APA

Öinert, P. J., & Lundström, P. (2012). The Ideal Intersection Property for Groupoid Graded Rings. Communications in Algebra, 40(5), 1860-1871. https://doi.org/10.1080/00927872.2011.559181

Vancouver

Öinert PJ, Lundström P. The Ideal Intersection Property for Groupoid Graded Rings. Communications in Algebra. 2012;40(5):1860-1871. https://doi.org/10.1080/00927872.2011.559181

Author

Öinert, Per Johan ; Lundström, Patrik. / The Ideal Intersection Property for Groupoid Graded Rings. I: Communications in Algebra. 2012 ; Bind 40, Nr. 5. s. 1860-1871.

Bibtex

@article{9f86a534655e436da760f327e47bda1b,
title = "The Ideal Intersection Property for Groupoid Graded Rings",
abstract = "We show that, if a groupoid graded ring has a grading satisfying a certain nondegeneracy property, then the commutant of the center of the principal component of the ring has the ideal intersection property, that is it intersects nontrivially every nonzero ideal of the ring. Furthermore, we show that for skew groupoid algebras with commutative principal component, the principal component is maximal commutative if and only if it has the ideal intersection property.",
author = "{\"O}inert, {Per Johan} and Patrik Lundstr{\"o}m",
year = "2012",
doi = "10.1080/00927872.2011.559181",
language = "English",
volume = "40",
pages = "1860--1871",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor & Francis",
number = "5",

}

RIS

TY - JOUR

T1 - The Ideal Intersection Property for Groupoid Graded Rings

AU - Öinert, Per Johan

AU - Lundström, Patrik

PY - 2012

Y1 - 2012

N2 - We show that, if a groupoid graded ring has a grading satisfying a certain nondegeneracy property, then the commutant of the center of the principal component of the ring has the ideal intersection property, that is it intersects nontrivially every nonzero ideal of the ring. Furthermore, we show that for skew groupoid algebras with commutative principal component, the principal component is maximal commutative if and only if it has the ideal intersection property.

AB - We show that, if a groupoid graded ring has a grading satisfying a certain nondegeneracy property, then the commutant of the center of the principal component of the ring has the ideal intersection property, that is it intersects nontrivially every nonzero ideal of the ring. Furthermore, we show that for skew groupoid algebras with commutative principal component, the principal component is maximal commutative if and only if it has the ideal intersection property.

U2 - 10.1080/00927872.2011.559181

DO - 10.1080/00927872.2011.559181

M3 - Journal article

VL - 40

SP - 1860

EP - 1871

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 5

ER -

ID: 49697530