Temat: commutative $BE$-algebra

Skocz do pozycji: 1.

Tytuł:: On normal filters and congruence relations in BE-algebras
Autorzy:: Walendziak, Andrzej
Tematy:: BE-algebra
(Normal) Filter
Congruence relation
Transitive BE-algebra
Commutative BE-algebra; Pokaż więcej
Wydawca:: Polskie Towarzystwo Matematyczne
Powiązania:: https://bibliotekanauki.pl/articles/746384.pdf Link otwiera się w nowym oknie
Opis:: In this paper we introduce the notion of a normal filter in BE-algebras (in transitive BE-algebras filters conicide with normal filters). We discuss some relationships between congruence relations and normal filters of a BE-algebra A (if A is commutative, then we show that there is a bijection between congruence relations and filters in A ). Moreover, we give the construction of quotient algebra A/F of A via a normal filter F of A.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Quasi-Complemented BE-Algebras
Autorzy:: Kumar, V. Venkata
Rao, M. Sambasiva
Vali, S. Kalesha
Tematy:: O-filter
strong regular filter
commutative BE-algebra
quasi-complemented BE-algebra
strong BE-algebra; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Powiązania:: https://bibliotekanauki.pl/articles/55795846.pdf Link otwiera się w nowym oknie
Opis:: The concept of O-filters is introduced in commutative BE-algebras. An equivalent condition is derived for every strong regular filter of a BE-algebra to become an O-filter. The concept of quasi-complemented BE-algebras is introduced and also characterized these classes of BE-algebras in terms of dual annihilators. The concept of strong regular filter is introduced and then quasi-complemented BE-algebras and strong BE-algebras are characterized in terms of strong regular filters and O-filters.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

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

Skocz do pozycji: 4.

Tytuł:: Some results on pseudo-Q algebras
Autorzy:: Rezaei, Akbar
Saeid, Arsham Borumand
Walendziak, Andrzej
Tematy:: Pseudo-BCI/BCK algebra
(dual) pseudo-BCH algebra
dual pseudo-Q/QC algebra
(commutative) pseudo-CI/BE algebra; Pokaż więcej
Wydawca:: Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Powiązania:: https://bibliotekanauki.pl/articles/744634.pdf Link otwiera się w nowym oknie
Opis:: The notions of a dual pseudo-Q algebra and a dual pseudo-QC algebra are introduced. The properties and characterizations of them are investigated. Conditions for a dual pseudo-Q algebra to be a dual pseudo-QC algebra are given. Commutative dual pseudo-QC algebras are considered. The interrelationships between dual pseudo-Q/QC algebras and other pseudo algebras are visualized in a diagram.
Dostawca treści:: Biblioteka Nauki

Artykuł

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