On bases of identities of finite central locally orthodox completely regular semigroups
|Článek v odborném periodiku
|Časopis / Zdroj
|Fakulta / Pracoviště MU
|Completely regular semigroups; Completely simple semigroups; Varieties of completely regular semigroups; Central completely regular semigroups; Locally orthodox completely regular semigroups; Bases of identities of finite semigroups
|It has been known for a long time that every finite orthodox completely regular semigroup has a finite basis of identities, and that every finite central completely simple semigroup has a finite basis of identities. In the present paper, a common generalization of these two facts is established. It is shown that every finite central locally orthodox completely regular semigroup has a finite basis of identities. The proof of this latter fact which is presented in this paper employs significantly the celebrated theorem of Libor Polák on the structure of the lattice of all varieties of completely regular semigroups.