- Tytuł:
- Pointed principally ordered regular semigroups
- Autorzy:
-
Blyth, T.
Pinto, G. - Powiązania:
- https://bibliotekanauki.pl/articles/728888.pdf
- Data publikacji:
- 2016
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
regular semigroup
principally ordered
naturally ordered
Green's relations - Opis:
- An ordered semigroup S is said to be principally ordered if, for every x ∈ S there exists x* = max{y ∈ S | xyx ⩽ x}. Here we investigate those principally ordered regular semigroups that are pointed in the sense that the classes modulo Green's relations ℒ,ℛ, have biggest elements which are idempotent. Such a semigroup is necessarily a semiband. In particular we describe the subalgebra of (S;*) generated by a pair of comparable idempotents that are -related. We also prove that those -classes which are subsemigroups are ordered rectangular bands.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2016, 36, 1; 101-111
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł