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Cancellable elements of the lattices of varieties of semigroups and epigroups. (English) Zbl 1444.20036
An element $$x$$ of a lattice $$\langle L; \vee , \wedge \rangle$$ is called cancellable iff $$(\forall x,y \in L)(x \vee y = x \vee z \, \& \, x \wedge y = x \wedge z \to y = z)$$. An epigroup is a semigroup in which some power of any element lies in a subgroup. Here, a description of all semigroup (epigroup) varieties which are cancellable elements of the lattice of all semigroup (epigroup) varieties is presented.
MSC:
 20M07 Varieties and pseudovarieties of semigroups 08B15 Lattices of varieties
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References:
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