Complete Semigroups of Binary Relations Defined by Semilattices of the Class ∑<sub>1</sub>(<i>X</i>,10)

• 作者: Ali Erdo?an Ne?et Ayd?n Shota Makharadze
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: SEMILATTICE Semigroup Binary Relation
• 年，卷（期）: 2015,（2）
• 页码范围: 274-294
• 页数: 21页
• 分类号: O1

摘要

In this paper we give a full description of idempotent elements of the semigroup BX (D), which are defined by semilattices of the class ∑1 (X, 10). For the case where X is a finite set we derive formulas by means of which we can calculate the numbers of idempotent elements of the respective semigroup.