Regular Elements of Semigroups BX(D) Defined by the Generalized X -- Semilattice.

Autor: Albayrak, Bariş, Aydin, Neşet, Sungur, Didem Yeşil
Předmět:
Zdroj: General Mathematics Notes; Aug2014, Vol. 23 Issue 2, p96-107, 12p
Abstrakt: In this paper, we take Q = {T1, T2, ..., Tm-3, Tm-2, Tm-1, Tm subsemilattice of X -- semilattice of unions D where the elements Ti's are satisfying the following properties, T1 ⊂ T3 ⊂ ... ⊂ Tm-3 ⊂ Tm-2 ⊂ Tm, T1 ⊂ T3 ⊂ ... ⊂ Tm-3 ⊂ Tm-1∅, T2\T1≠∅, Tm-2\Tm-1≠∅, Tm-1\Tm-2≠∅mm T1 ∪T2 = T3, Tm-2∪Tm-1 = Tm. We will unvestigate the properties of regular element of α ∈ BX(D) satisfying V(D, α) = Q. Moreover, we will calculate the number of regular elements of BX(D) for a finite set X. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index