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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

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
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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). 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).
出处 《Applied Mathematics》 2015年第14期2257-2278,共22页 应用数学(英文)
关键词 SEMILATTICE SEMIGROUP Binary Relation Regular Element Semilattice Semigroup Binary Relation Regular Element
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