Paper «Congruence-based proofs of the recognizability theorems for free many-sorted algebras» published in J. Logic Comput.

The following paper has been published:
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J. Climent Vidal and E. Cosme Llópez.
Congruence-based proofs of the recognizability theorems for free many-sorted algebras.
J. Logic Comput., 30(2):561–633, 2020.

doi:10.1093/logcom/exz032

Abstract

We generalize several recognizability theorems for free single-sorted algebras to free many-sorted algebras and provide, in a uniform way and without using either regular tree grammars or tree automata, purely algebraic proofs of them based on congruences.

Keywords: free many-sorted algebra, recognizability, congruence

Paper «On factorised finite groups» published in Mediterr. J. Math.

The following paper has been published:
El siguiente artículo ha sido publicado:
El següent article ha sigut publicat:

A. Ballester-Bolinches, Y. Li, M. C. Pedraza-Aguilera, Ning Su.
On factorised finite groups.
Mediterr. J. Math., 17(2):Paper No. 65, 7, 2020.

doi:10.1007/s00009-020-1500-1

Abstract

A subgroup H of a finite group G is called ℙ-subnormal in G if either H = G or it is connected to G by a chain of subgroups of prime indices. In this paper, some structural results of finite groups which are factorised as the product of two ℙ-subnormal subgroups is showed.

2020 Mathematics Subject Classification: 20D10, 20D25

Keywords: finite group; factorised group; w-supersoluble group; ℙ-subnormal subgroup

Visita i xarrada professor Jean-Éric Pin 24/02/2020

Feb ’20
24
12:00

Jean-Éric PinBenvolgudes companyes, benvolguts companys,

El professor Jean-Éric Pin (IRIF, CNRS i Université Paris-Diderot) ens visitarà el proper dilluns 24 de febrer i impartirà la xarrada

«Formations of monoids»

el proper dilluns 24 de febrer a les 12.00 a l’aula 1.5 de la Facultat de Matemàtiques.

Ben cordialment,

Ramon