JOURNAL ARTICLE

The algebra of S2–upper triangular matrices.

  • Published In: Journal of Algebra & Its Applications, 2026, v. 25, n. 8. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Lippold, Steven R. 3 of 3

Abstract

Based on work presented in [S. R. Lippold, M. D. Staic and A. Stancu, Edge partitions of the complete graph and a determinant-like function, Monatsh. Math.198 (2022) 819–858], we define S 2 -Upper Triangular Matrices and S 2 -Lower Triangular Matrices, two special types of d × d (2 d − 1) matrices generalizing Upper and Lower Triangular Matrices, respectively. Then, we show that the property that the determinant of an Upper Triangular Matrix is the product of its diagonal entries is generalized under our construction. Further, we construct the algebra of S 2 -Upper Triangular Matrices and give conditions for an LU-Decomposition with S 2 -Lower Triangular and S 2 -Upper Triangular Matrices, respectively. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Journal of Algebra & Its Applications. 2026/07, Vol. 25, Issue 8, p1
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2026
  • ISSN:0219-4988
  • DOI:10.1142/S0219498826500775
  • Accession Number:193121401
  • 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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