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Chain conditions for rings with enough idempotents with applications to category graded rings
University West, Department of Engineering Science, Division of computer engineering and computer science. (iAIL KAMAIL)ORCID iD: 0000-0001-6594-7041
2024 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 52, no 8, p. 3319-3327Article in journal (Refereed) Published
Abstract [en]

We obtain criteria for when a ring with enough idempotents is left/right artinian or noetherian in terms of local criteria defined by the associated complete set of idempotents for the ring. We apply these criteria to object unital category graded rings in general and, in particular, to the class of skew category algebras. Thereby, we generalize results by Nastasescu-van Oystaeyen, Bell, Park, and Zelmanov from the group graded case to groupoid, and in some cases category, gradings. 

Place, publisher, year, edition, pages
Taylor & Francis, 2024. Vol. 52, no 8, p. 3319-3327
Keywords [en]
Artinian, category, crossed product, graded ring, groupoid, noetherian
National Category
Algebra and Logic
Research subject
Work-Integrated Learning
Identifiers
URN: urn:nbn:se:hv:diva-21422DOI: 10.1080/00927872.2024.2317459ISI: 001169772300001Scopus ID: 2-s2.0-85186422523OAI: oai:DiVA.org:hv-21422DiVA, id: diva2:1928599
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Available from: 2025-01-17 Created: 2025-01-17 Last updated: 2025-09-30

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Lundström, Patrik

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  • apa
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