Algebraic structures of Fibonacci matrices over ring

	Algebraic structures of Fibonacci matrices over ring
Communications in Combinatorics and Optimization
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 27 شهریور 1404
نوع مقاله: Original paper
شناسه دیجیتال (DOI): 10.22049/cco.2025.30256.2387
نویسنده
Hrishikesh Mahato^*
Department of Mathematics, Central University of Jharkhand, Ranchi, India
چکیده
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.
کلیدواژه‌ها
Algebraic Structure؛ Field Theory؛ Fibonacci Sequence؛ Fibonacci Matrix

آمار تعداد مشاهده مقاله: 9

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