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A Class of Koszul Algebra and Some Homological Invariants through Circulant Matrices and Cycles

Author

Listed:
  • Muhammed Nadeem
  • Mohammed M. M. Jaradat
  • Imran Siddique
  • Muhammad Arfan Ali
  • Muhammad Ahsan
  • Muhammad Sarwar Sindhu
  • Gul Rahmat

Abstract

Recent advances in graph theory, linear algebra, and commutative algebra render us to tackle problems in one bough of mathematics with assistance and guidance from others. We will elaborate foremost and conceptually fathomless homological invariants inextricably linked with circulant matrices and cycles through various path lengths in this article, as well as a class of Koszul algebra, which portrays combinatorial correlation, in the end.

Suggested Citation

  • Muhammed Nadeem & Mohammed M. M. Jaradat & Imran Siddique & Muhammad Arfan Ali & Muhammad Ahsan & Muhammad Sarwar Sindhu & Gul Rahmat, 2022. "A Class of Koszul Algebra and Some Homological Invariants through Circulant Matrices and Cycles," Journal of Mathematics, Hindawi, vol. 2022, pages 1-8, March.
    • Handle: RePEc:hin:jjmath:4450488
    DOI: 10.1155/2022/4450488
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