MULTIPLICATIVE n-TH ROOT FUNCTIONS OVER FINITE SEMIGROUPS, GROUPS, FIELDS AND COMMUTATIVE RINGS

被引：0
作者：
Cohen, Boaz [1 ]
机构：
[1] Acad Coll Tel Aviv, Dept Comp Sci, Rabenu Yeruham St,POB 8401, IL-6818211 Yaffo, Israel
来源：
MATHEMATICAL REPORTS | 2024年 / 26卷 / 3-4期
关键词：
finite semigroups; finite groups; finite fields; finite commutative rings; n-th roots;
D O I：
10.59277/mrar.2024.26.76.3.4.219
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the existence and uniqueness of multiplicative n-th root functions n root 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.
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收藏
页码：219 / 250
页数：32
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