2021, Vol. 2, Issue 1, Part A
T semi group operations and systems
Author(s): Dr. Bijendra Kumar
Abstract: T-systems in ternary semigroups refer to a specific concept involving transformations that exhibit particular behaviors within the context of ternary algebraic structures. In ternary semigroups, which extend the notion of semigroups to include three binary operations, T-systems play a crucial role in understanding the relationships and interactions between these operations. A T-system consists of a set equipped with three binary operations: addition, multiplication, and a ternary operation. This ternary operation captures the essence of the T-system by specifying how three elements of the set interact to produce another element. T-systems are subject to associativity properties for both the addition and multiplication operations. T-systems serve as a framework for modeling complex operations that involve three components or operations in a systematic manner. They provide insights into algebraic structures with multiple interacting operations and their properties. The study of T-systems in ternary semigroups contributes to the exploration of mathematical relationships beyond traditional semigroups and showcases the intricate interplay between addition, multiplication, and ternary operations within these structures. T-systems offer a means to investigate and analyze the intricate algebraic behaviors that emerge when three binary operations interact in a coherent and meaningful way within the context of ternary semigroups.
Pages: 86-89 | Views: 81 | Downloads: 26
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How to cite this article:
Dr. Bijendra Kumar. T semi group operations and systems. Journal of Mathematical Problems, Equations and Statistics. 2021; 2(1): 86-89.