2020/01/12 by Cristina Flaut, Flaut, Cristina
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #FOS: Mathematics #Logic, programming, and type systems #Rings and Algebras (math.RA) #math.RA
paper · pdf · doi:10.48550/arxiv.2001.03971
arxiv created 2020/01/12 · openalex publication_date 2020/01/12 · arxiv updated 2020/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, some properties and applications of MV-algebras are provided. We define a Fibonacci sequence in an MV-algebra and we prove that such a stationary sequence gives us an idempotent element. Taking into account of the representation of a finite MV-agebra, by using Boolean elements of this algebra, we prove that such a sequence is always stationary and is not periodic as in the situation when such a sequence is studied on the group (Zn; +), the group of integers modulo n. Moreover, as an application in Coding Theory, to a Boolean algebra is attached a binary block code and is proved that, under some conditions, the converse is also true.