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A Class of Koszul Algebra and Some Homological Invariants through Circulant Matrices and Cycles
Author(s) -
Muhammed Nadeem,
Mohammed M. M. Jaradat,
Imran Siddique,
Muhammad Arfan Ali,
Muhammad Ahsan,
Muhammad Sarwar Sindhu
Publication year - 2022
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2022/4450488
Subject(s) - mathematics , homological algebra , algebra over a field , circulant matrix , class (philosophy) , commutative property , cellular algebra , filtered algebra , graph algebra , linear algebra , graph , algebra representation , pure mathematics , discrete mathematics , functor , computer science , geometry , artificial intelligence , voltage graph , line graph
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.

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