Idempotent Elements of the Semigroups B_x(D) Defined by Semilattices of the Class ∑₃(x,8) When Z₇‡Ø  

作　　者：Giuli Tavdgiridze Yasha Diasamidze Omari Givradze Giuli Tavdgiridze;Yasha Diasamidze;Omari Givradze(Faculty of Physics, Mathematics and Computer Sciences, Department of Mathematics, Shota Rustaveli Batumi State University, Batumi, Georgia)

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

出　　处：《Applied Mathematics》2016年第3期193-218,共26页应用数学（英文）

摘　　要：In the 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 the 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]