Nilpotency and strong nilpotency for finite semigroups

• Tipo: Artigo em Revista Científica Internacional
• Data: 2019

Autores

Almeida, J (Autor) FCUP; Shahzamanian, MH (Autor) FCUP; Kufleitner, M (Autor) Outra

Revista

Título: Quarterly Journal of Mathematics

Vol. 70

Páginas: 619-648

ISSN: 0033-5606

Editora: Oxford University Press

Indexação

ISI Web of Knowledge - 1 Citação

Scopus - 1 Citação

Outras Informações

ID Authenticus: P-00Q-WH3

DOI: 10.1093/qmath/hay059

Abstract (EN): Nilpotent semigroups in the sense of Mal'cev are defined by semigroup identities. Finite nilpotent semigroups constitute a pseudovariety, MN, which has finite rank. The semigroup identities that define nilpotent semigroups lead us to define strongly Mal'cev nilpotent semigroups. Finite strongly Mal'cev nilpotent semigroups constitute a non-finite rank pseudovariety, SMN. The pseudovariety SMN is strictly contained in the pseudovariety MN, but all finite nilpotent groups are in SMN. We show that the pseudovariety MN is the intersection of the pseudovariety BGnil with a pseudovariety defined by a kappa-identity. We further compare the pseudovarieties MN and SMN with the Mal'cev product J(m) G(nill).

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 30