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Miyashita Action in Strongly Groupoid Graded Rings
University West, Department of Engineering Science, Division of Land Surveying and Mathematics.ORCID iD: 0000-0001-6594-7041
LTH.
(English)Manuscript (preprint) (Other academic)
Abstract [en]

We determine the commutant of homogeneous subringsin strongly groupoid graded rings in terms of an action on the ring induced by the grading. Thereby we generalize a classical result of Miyashita from the groupgraded case to the groupoid graded situation. In the end of the article we exemplify this result. To this end, we show, by an explicit construction,that given a finite groupoid $G$, equipped with a nonidentitymorphism t : d(t) -> c(t), there is a strongly G-graded ring R with the properties that each R_s, for s in G, is nonzero and R_t is a nonfree left R_c(t)-module.

National Category
Mathematics
Research subject
ENGINEERING, Mathematics
Identifiers
URN: urn:nbn:se:hv:diva-2356OAI: oai:DiVA.org:hv-2356DiVA: diva2:311256
Available from: 2010-04-21 Created: 2010-04-20 Last updated: 2015-06-24Bibliographically approved

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fulltext(185 kB)446 downloads
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Lundström, Patrik
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Citation style
  • apa
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Language
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  • Other locale
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Output format
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