- Tytuł:
- $\sigma$-filters of commutative $BE$-algebras
- Autorzy:
- Sambasiva Rao, M.
- Tematy:
-
commutative $BE$-algebra
dual annihilator filter
prime filter
$\sigma $-filter
regular filter
O-filter - Pokaż więcej
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Powiązania:
- https://bibliotekanauki.pl/articles/59346328.pdf  Link otwiera się w nowym oknie
- Opis:
- The concept of $\sigma $-filters is introduced in commutative $BE$-algebras and some properties of these classes of filters are studied. Some equivalent conditions are derived for every filter of a commutative $BE$-algebra to become a $\sigma $-filter. Some necessary and sufficient conditions are given for every regular filter of a commutative $BE$-algebra to become a $\sigma $-filter. A set of equivalent conditions is given for the class of all $\sigma $-filters of a commutative $BE$-algebra to become a sublattice to the lattice of all filters.
- Dostawca treści:
- Biblioteka Nauki
Artykuł