- Tytuł:
- $\sigma$-filters of distributive lattices
- Autorzy:
- Sambasiva Rao, M.
- Tematy:
-
prime filter
co-annihilator
$\mu$-filter
O-filter
$\sigma$-filter
pm-lattice - Pokaż więcej
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Powiązania:
- https://bibliotekanauki.pl/articles/59467128.pdf Link otwiera się w nowym oknie
- Opis:
- The concept of $\sigma $-filters is introduced in distributive lattices and studied some properties of these classes of filters. Two sets of equivalent conditions are derived one for every $\mu $-filter to become a $\sigma $-filter and the other for every filter to become a $\sigma $-filter of a distributive lattice. A one-to-one correspondence is established between the set of all prime $\sigma $-filters of a distributive lattice and the set of all prime $\sigma $-filters of its quotient lattice with respect to a congruence.
- Dostawca treści:
- Biblioteka Nauki
Artykuł