Idempotent Elements of the Semigroups B_X(D) Defined by Semilattices of the Class ∑₃ (X,8) When Z₇=Ø  

作　　者：G. Tavdgiridze Ya. Diasamidze O. Givradze G. Tavdgiridze;Ya. Diasamidze;O. Givradze(Department of Mathematics, Faculty of Physics, Mathematics and Computer Sciences, Shota Rustaveli Batumi State University, Batumi, Georgia)

机构地区：[1]Department of Mathematics, Faculty of Physics, Mathematics and Computer Sciences, Shota Rustaveli Batumi State University, Batumi, Georgia

出　　处：《Applied Mathematics》2016年第9期953-966,共14页应用数学（英文）

摘　　要：In this paper, complete semigroup binary relation is defined by semilattices of the class . We give a full description of idempotent elements of given semigroup. For the case where X is a finite set and , we derive formulas by calculating the numbers of idempotent elements of the respective semigroup.In this paper, complete semigroup binary relation is defined by semilattices of the class . We give a full description of idempotent elements of given semigroup. For the case where X is a finite set and , we derive formulas by calculating the numbers of idempotent elements of the respective semigroup.

关 键 词：SEMILATTICE SEMIGROUP Binary Relation Idempotent Element 

分 类 号：O15[理学—数学]