MULTIPLICATIVE n-TH ROOT FUNCTIONS OVER FINITE SEMIGROUPS, GROUPS, FIELDS AND COMMUTATIVE RINGS
Year: 2024
Type: article
Abstract: In this paper, we study the existence and uniqueness of multiplicative n-th root functions n √ over finite semigroups, in order to implement these ideas on finite groups, fields and commutative rings. A set of sufficient and necessary conditions are presented for existence of multiplicative n-th root functions over different algebraic structures. It is also shown that once the existence is established, the uniqueness is guaranteed. In addition, we describe the construction procedure of such a function.
Source: Mathematical Reports
Author: BOAZ COHEN
Institution: Academic College of Tel Aviv-Yafo
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4405002800