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The Ideal Intersection Property for Groupoid Graded Rings
University West, Department of Engineering Science, Division of Land Surveying and Mathematics.ORCID iD: 0000-0001-6594-7041
LTH.
2012 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 40, no 5, 1860-1871 p.Article in journal (Refereed) Published
Abstract [en]

We show that if a groupoid graded ring hasa certain nonzero ideal property, then the commutant of the center of the principal component of the ringhas the ideal intersection property, that is it intersects nontrivially every nonzero ideal of the ring. Furthermore, we show that for skew groupoid algebras withcommutative principal component, the principal componentis maximal commutative if and only if it has the ideal intersection property.

Place, publisher, year, edition, pages
2012. Vol. 40, no 5, 1860-1871 p.
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:hv:diva-3065DOI: 10.1080/00927872.2011.559181ISI: 000304276800020Scopus ID: 2-s2.0-84861471705OAI: oai:DiVA.org:hv-3065DiVA: diva2:391502
Available from: 2011-01-25 Created: 2011-01-25 Last updated: 2015-06-24Bibliographically approved

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  • apa
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