Extensions of left regular bands by R-unipotent semigroups

Utilize este identificador para referenciar este registo: https://hdl.handle.net/1822/73468

Título:	Extensions of left regular bands by R-unipotent semigroups
Autor(es):	Billhardt, Bernd Smith, M. Paula Marques Martins, Paula Mendes
Palavras-chave:	Embedding Extension Left regular band R-unipotent semigroup
Data:	10-Jun-2021
Editora:	Springer
Revista:	Periodica Mathematica Hungarica
Citação:	Billhardt, B., Marques-Smith, P. & Martins, P.M. Extensions of left regular bands by R-unipotent semigroups. Period Math Hung (2021). https://doi.org/10.1007/s10998-021-00384-z
Resumo(s):	In this paper we describe R-unipotent semigroups being regular extensions of a left regular band by an R-unipotent semigroup T as certain subsemigroups of a wreath product of a left regular band by T .We obtain Szendrei’s result that each E-unitaryR-unipotent semigroup is embeddable into a semidirect product of a left regular band by a group. Further, specialising the first author’s notion of λ-semidirect product of a semigroup by a locally R-unipotent semigroup, we provide an answer to an open question raised by the authors in [Extensions and covers for semigroups whose idempotents form a left regular band, Semigroup Forum 81 (2010), 51-70].
Tipo:	Artigo
URI:	https://hdl.handle.net/1822/73468
DOI:	10.1007/s10998-021-00384-z
ISSN:	0031-5303
e-ISSN:	1588-2829
Versão da editora:	https://link.springer.com/article/10.1007/s10998-021-00384-z
Arbitragem científica:	yes
Acesso:	Acesso aberto
Aparece nas coleções:	DMA - Artigos (Papers)