Informace o publikaci

Representations of relatively free profinite semigroups, irreducibility, and order primitivity

Autoři

ALMEIDA Jorge KLÍMA Ondřej

Rok publikování 2020
Druh Článek v odborném periodiku
Časopis / Zdroj Transactions of the American Mathematical Society
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://doi.org/10.1090/tran/7951
Doi http://dx.doi.org/10.1090/tran/7951
Klíčová slova Pseudovariety; relatively free profinite semigroup; torsion; group mapping semigroup; minimum ideal; join irreducibility; ordered semigroup
Popis We establish that, under certain closure assumptions on a pseudovariety of semigroups, the corresponding relatively free profinite semigroups freely generated by a nonsingleton finite set act faithfully on their minimum ideals. As applications, we enlarge the scope of several previous join irreducibility results for pseudovarieties of semigroups, which turn out to be even join irreducible in the lattice of pseudovarieties of ordered semigroups, so that, in particular, they are not generated by proper subpseudovarieties of ordered semigroups. We also prove the stronger form of join irreducibility for the Krohn-Rhodes complexity pseudovarieties, thereby solving a problem proposed by Rhodes and Steinberg.
Související projekty:

Používáte starou verzi internetového prohlížeče. Doporučujeme aktualizovat Váš prohlížeč na nejnovější verzi.

Další info