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Idempotent Elements of the Semigroups B<sub>x</sub>(D) Defined by Semilattices of the Class &sum;<sub>3</sub>(x,8) When Z<sub>7</sub>&Dagger;&Oslash;

Idempotent Elements of the Semigroups B<sub>x</sub>(D) Defined by Semilattices of the Class &sum;<sub>3</sub>(x,8) When Z<sub>7</sub>&Dagger;&Oslash;
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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.
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 Faculty of Physics
出处 《Applied Mathematics》 2016年第3期193-218,共26页 应用数学(英文)
关键词 SEMILATTICE Semigroup Binary Relation Idempotent Element Semilattice Semigroup Binary Relation Idempotent Element
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