Idempotent Elements of the Semigroup BX(D) Defined by Semilattices of the Class Σ3(X, 8) when Z7 = Ø


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The paper presents a full description of idempotent elements of the semigroup of binary relations BX(D), which are defined by semilattices of the class Σ3(X, 8). For the case where X is a finite set and Z7 = Ø, we derive formulas for calculating the number of idempotent elements of the respective semigroup.

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G. Tavdgiridze

Shota Rustaveli Batumi State University

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Email: g.tavdgiridze@mail.ru
格鲁吉亚, Batumi

Ya. Diasamidze

Shota Rustaveli Batumi State University

Email: g.tavdgiridze@mail.ru
格鲁吉亚, Batumi

O. Givradze

Shota Rustaveli Batumi State University

Email: g.tavdgiridze@mail.ru
格鲁吉亚, Batumi

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