论文标题
MV代数的一些应用
Some applications of MV algebras
论文作者
论文摘要
在本文中，提供了MV-Elgebras的某些属性和应用。我们在MV-Algebra中定义了一个斐波那契序列，并证明这种固定序列为我们提供了一个基于的元素。考虑到使用该代数的布尔元素的有限MV-Agebra的表示，我们证明了这样一个序列始终是固定的，并且不是周期性的，就像在该组上（Zn; +）上研究这样一个序列的情况，整数integers modulo n。此外，作为编码理论的应用，将布尔数代数附加了二进制块代码，并证明在某些条件下，相反也是如此。
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.
