A characterization of n-associative, monotone, idempotent functions on an interval that have neutral elements

被引：0

作者：

Gergely Kiss

Gábor Somlai

机构：

[1] University of Luxembourg,Mathematical Research Unit, Faculty of Science

[2] Eötvös Loránd University,Faculty of Science, Institute of Mathematics

来源：

Semigroup Forum | 2018年 / 96卷

关键词：

Quasitrivial; Ordered semigroups; -associativity; Idempotency; Monotonicity; Neutral element;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate monotone idempotent n-ary semigroups and provide a generalization of the Czogala–Drewniak Theorem, which describes the idempotent monotone associative functions having a neutral element. We also present a complete characterization of idempotent monotone n-associative functions on an interval that have neutral elements.

引用

页码：438 / 451

页数：13