JOURNAL ARTICLE

On the schematicness of some Ore polynomials of higher order generated by homogenous quadratic relations.

  • Published In: Journal of Algebra & Its Applications, 2025, v. 24, n. 8. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Chacón, Andrés; Reyes, Armando 3 of 3

Abstract

In this paper, we investigate the property of schematicness introduced by Van Oystaeyen and Willaert [F. Van Oystaeyen and L. Willaert, Grothendieck topology, coherent sheaves and Serre's theorem for schematic algebras, J. Pure Appl. Algebra 104(1–3) (1995) 109–122] in the setting of skew Ore polynomials of higher order generated by homogenous quadratic relations defined by Golovashkin and Maksimov [A. V. Golovashkin and V. M. Maksimov, Skew Ore polynomials of higher orders generated by homogeneous quadratic relations, Russian Math. Surveys 53(2) (1998) 384–386]. We establish sufficient conditions to guarantee whether some of these algebras are schematic or not. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Journal of Algebra & Its Applications. 2025/07, Vol. 24, Issue 8, p1
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2025
  • ISSN:0219-4988
  • DOI:10.1142/S021949882550207X
  • Accession Number:184767186
  • Copyright Statement:Copyright of Journal of Algebra & Its Applications is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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