# Semilattice transversals of regular bands II

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A mapping Ïƒ which assigns to every n-ary cooperation symbol fi an ni -ary coterm of type Ï„ = (ni )iâˆˆI is said to be a cohypersubstitution of type T. The concepts of cohypersubstitutions were introduced in [3]. Every cohypersubstitution Ïƒ of type T induces a mapping ÏƒË† on...

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A semigroup $S$ is called idempotent-surjective (respectively, regular-surjective) if whenever $\rho $ is a congruence on $S$ and $a\rho $ is idempotent (respectively, regular) in $S/ \rho $, then there is $e\in {E}_{S} \cap a\rho $ (respectively, $r\in \mathrm{Reg} (S)\cap a\rho $), where...

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In this paper we study dense inverse subsemigroups of topological inverse semigroups. We construct a topological inverse semigroup from a semilattice. Finally, we give two examples of the closure of B, a topological inverse semigroup obtained by starting with the real numbers as a semilattice...

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In this paper we investigate the Green graphs for the regular and inverse semigroups by considering the Green classes of them. And by using the properties of these semigroups, we prove that all of the five Green graphs for the inverse semigroups are isomorphic complete graphs, while this doesn't...