Distributive hyperidentities in semigroups
Yuri Movsisyan, T. A. Hakobyan · Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) · 2011
The paper gives a description of the class of semigroups in which the hyperidentity of left distributivity is essentially valid. It is proved that the class of all semigroups, in which this hypeidentity is essentially valid, is a union of three finitely based semigroup varieties, and the basic identities of all varieties are given in explicit forms.