Authors : Khanindra Chandra Chowdhury; Maitrayee Chowdhury

Volume/Issue : Volume 11 - 2026, Issue 1 - January

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Google Scholar : https://tinyurl.com/393he7h2

Scribd : https://tinyurl.com/4w4m7b64

DOI : https://doi.org/10.38124/ijisrt/26jan141

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Abstract : In this paper some hyperoperational aspects involving hypergraphs are investigated. An introduction of new hyperoperational notions (one is with so called partial character) signifies non-commutative, self-reciprocating and index commuting self associative attributes. Furthermore, some hyperoperational characteristics applicable to a Noetherian ring on some sub-algebraic structures equipped with ideal hypergraphs are developed. Here, the study is mainly to perceive how far the new notions presented would take us in the algebraic hyperstructural area discussed. On the other way another innovative attempt is made to develop a hypergraphic exploration of some ring theoretic finiteness equivalent conditions that may be called some sort of chain conditional path.

Keywords : Hypergraph; Recursive Hyperedge; Recursive Diameter; Ideal Maximal Condition.

References :

1. Bretto Alain, Hypergraph Theory-An Introduction, Springer Int. Publishing Switzerland, 2013
2. Burton D., A first course in rings and ideals, Addison-Wesley Publishing Company, 1970.
3. Chowdhury K. C., Some aspects of Artinian(Noetherian) Part of a Goldie Ring and its Topological relevance, South East Asian Bulletin of Mathematics, 32(5)(2008), 843-853.
4. Corsini P., Prolegomena of Hypergroup Theory, 2nd Edition, Aviane Editore, 1993.
5. Corsini P., Hypergraphs and hypergroups, Algebra Universalis, 35(1996), 548-555.
6. Corsini P., Loreanu V., Applications of Hyperstructures Theory, Advances in Math., Kluwer Academic Publisher, 2003.
7. [7] Corsini P., Loreanu-Fotea V., Iranmesh A., On the sequence of hypergraphs and membership functions determined by a hypergraph, Journal of Multi-Valued Logic and Soft Computing, 14(2008), 565-577.
8. Davvaz B., Loreanu-Fotea V., Hyperring Theory and Applications, International Academic Press, USA, 2007.
9. Davvaz B., Polygroup Theory and Related Systems, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2013.
10. Davvaz B., Semihypergroup Theory, Elsevier Academic Press, London, 2016.
11. Farshi, M., Davvaz, B. and Mirvakili, S., Degree hypergroupoids associated with hypergraphs, Filomat, 28 (2014), 119–129.
12. Marty F., Sur une generalization de la de groups, 8iem, Congress Math. Scandinaves,Stockholm, 1934, 45-49.
13. Maryati T.K., Davvaz B., Anovel connection between rough sets, hypergraphs and hypergroups, Discrete Mathematics, Algorithms and Applications, 9(4)(2017).
14. Nikkah A., Davvaz B., Mirvakili S., Hypergroups Constructed from Hypergraphs, FILOMAT, 32(10)(2018), 3487-3494.
15. Vougiouklis T., Hyperstructures and their Representations, Hardonic Press, Florida, 1994.