Regular Elements of the Semigroup <i>B</i><sub>X </sub>(<i>D</i>) Defined by Semilattices of the Class Σ<sub>2</sub>(<i>X</i>, 8) and Their Calculation Formulas

• 作者: Guladi Fartenadze Nino Tsinaridze Shota Makharadze
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: SEMILATTICE SEMIGROUP Binary Relation Regular Element
• 年，卷（期）: 2015,（14）
• 页码范围: 2257-2278
• 页数: 22页
• 分类号: O1

摘要

The paper gives description of regular elements of the semigroup B X (D) which are defined by semilattices of the class Σ2 (X, 8), for which intersection the minimal elements is not empty. When X is a finite set, the formulas are derived, by means of which the number of regular elements of the semigroup is calculated. In this case the set of all regular elements is a subsemigroup of the semigroup B X (D) which is defined by semilattices of the class Σ2 (X, 8).