On left strongly simple ordered hypersemigroups
Închide
Conţinutul numărului revistei
Articolul precedent
Articolul urmator
629 10
Ultima descărcare din IBN:
2024-01-28 15:54
Căutarea după subiecte
similare conform CZU
512.53 (62)
Algebră (400)
SM ISO690:2012
KEHAYOPULU, Niovi. On left strongly simple ordered hypersemigroups. In: Quasigroups and Related Systems, 2017, vol. 25, nr. 2(37), pp. 261-268. ISSN 1561-2848.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
Quasigroups and Related Systems
Volumul 25, Numărul 2(37) / 2017 / ISSN 1561-2848

On left strongly simple ordered hypersemigroups

CZU: 512.53
MSC 2010: 20N20,06F05

Pag. 261-268

Kehayopulu Niovi
 
University of Athens
 
 
Disponibil în IBN: 16 decembrie 2018


Rezumat

We present a structure theorem referring to the decomposition of ordered hypersemigroups into left strongly simple components, that is, into subhypersemigroups which are both simple and left quasi-regular. We prove that an ordered hypersemigroup is a semilattice of left strongly simple hypersemigroups if and only if it is a complete semilattice of left strongly simple hypersemigroups and we characterize this type of hypersemigroups in terms of intra-regular and semisimple hypersemigroups. We also characterize the chains of left strongly simple ordered hypersemigroups.

Cuvinte-cheie
Orderedhyp ersemigroup, simple, quasileft(right)regular, leftstronglysimple, intra-regular, semisimple