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Commutativity and ideals in pre-crystalline graded rings
Lund University.
Lund University. (Mathematics/Applied Mathematics)ORCID iD: 0000-0003-4554-6528
2009 (English)In: Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, ISSN 0167-8019, E-ISSN 1572-9036, Vol. 108, no 3, p. 603-615Article in journal (Refereed) Published
Abstract [en]

Pre-crystalline graded rings constitute a class of rings which share many properties with classical crossed products. Given a pre-crystalline graded ring A, we describe its center, the commutant CA(A0) of the degree zero grading part, and investigate the connection between maximal commutativity of A0 in A and the way in which two-sided ideals intersect A0.

Place, publisher, year, edition, pages
Springer, 2009. Vol. 108, no 3, p. 603-615
Keyword [en]
Crossed products, Graded rings, Ideals, subrings, Commutative, Skew group rings
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-22073DOI: 10.1007/s10440-009-9434-4ISI: 000271941500010Scopus ID: 2-s2.0-71449117893OAI: oai:DiVA.org:mdh-22073DiVA, id: diva2:682643
Funder
Swedish Research Council
Available from: 2013-12-28 Created: 2013-10-23 Last updated: 2017-12-06Bibliographically approved

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Publisher's full textScopushttp://dx.doi.org/10.1007/s10440-009-9434-4

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Silvestrov, Sergei D.

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