Ore sets, denominator sets and the left regular left quotient ring of a ring

Bavula, V.V. orcid.org/0000-0003-2450-2075 (2026) Ore sets, denominator sets and the left regular left quotient ring of a ring. Journal of Algebra and Its Applications. ISSN: 0219-4988

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Item Type: Article
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© 2026 The Authors. Except as otherwise noted, this author-accepted version of a journal article published in Journal of Algebra and Its Applications is made available via the University of Sheffield Research Publications and Copyright Policy under the terms of the Creative Commons Attribution 4.0 International License (CC-BY 4.0), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/

Keywords: Ore set; denominator set; the Jacobian algebra; the Weyl algebra; the algebra of polynomial integro-differential operators; left regular element; the left regular left quotient ring of a ring; Goldie’s theorem
Dates:
  • Accepted: 20 September 2026
  • Published (online): 6 October 2026
  • Published: 6 October 2026
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematical and Physical Sciences
Date Deposited: 26 Oct 2026 15:51
Last Modified: 26 Oct 2026 15:51
Status: Published online
Publisher: World Scientific Pub Co Pte Ltd
Refereed: Yes
Identification Number: 10.1142/s0219498826420065
Open Archives Initiative ID (OAI ID):

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