Algebraic structures of Fibonacci matrices over ring

Articles in Press

Document Type : Original paper

Author

Department of Mathematics, Central University of Jharkhand, Ranchi, India

Abstract

In this paper we have developed some algebraic structures for the set Fibonacci matrices over initial value spaces ring and field and shown that set of all Fibonacci matrices forms a ring or field (coined as Fibonacci Ring or Fibonacci Field) in either cases. We also investigated those structures over Z; Q; R and C and found that over Q it forms a Fibonacci Field but over Z; R and C it is a Fibonacci Ring. Finally we have introduced a new concept of f-inverse initial value along with that of f-congruent equivalence class and demonstrated graphically which leads a wide scope of future work.

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References

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Communications in Combinatorics and Optimization

Articles in Press, Accepted Manuscript
Available Online from 18 September 2025

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