Idempotents and regular elements of complete semigroups of binary relations.

DOI10.1007/s10958-008-9132-1zbMath1314.20053OpenAlexW2111407784MaRDI QIDQ2255994

Ya. I. Diasamidze, I. Ya. Diasamidze, Sh. I. Makharadze

Publication date: 18 February 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-9132-1

zbMATH Keywords

idempotentsregular elementssemilatticessemigroups of binary relations

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Semilattices (06A12)

Related Items (4)

Idempotent elements of the semigroup \(B_X(D)\) defined by semilattices of the class \(\Sigma_3(X, 8)\) when \(Z_7 = \varnothing\) ⋮ Right units in complete semigroups of binary relations. ⋮ Idempotent elements of semigroups \(B_X(D)\) defined by semilattices of the class \(\Sigma_4(X,7)\). ⋮ Irreducible generating sets of complete semigroups of unions \(B_x(D)\) defined by semilattices of the class \(\Sigma_2(X,4)\)

Cites Work

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• A construction for idempotent binary relations
• On idempotent binary relations on a finite set

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