Wszystkie pola: implicative - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On maximal ideals of pseudo \(MV\)-algebras
Autorzy:: Dymek, Grzegorz
Walendziak, Andrzej
Powiązania:: https://bibliotekanauki.pl/articles/745935.pdf
Data publikacji:: 2007
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: pseudo MV-algebra
ideal
maximal (implicative) ideal
Opis:: We investigate maximal ideals of pseudo MV-algebras and give some characterizations of them. Some properties of a family of maximal ideals of a pseudo MV-algebra generating this algebra are shown as well. Finally, we are interested in finding an example of a pseudo MV-algebra generated by its maximal ideal.
Źródło:: Commentationes Mathematicae; 2007, 47, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Folding Theory of Implicative and Obstinate Ideals in Bl-Algebras
Autorzy:: Paad, Akbar
Powiązania:: https://bibliotekanauki.pl/articles/52762631.pdf
Data publikacji:: 2018-12-01
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: BL-algebra
ideal
n-fold implicative ideal
n-fold obstinate ideal
Opis:: In this paper, the concepts of n-fold implicative ideals and n-fold obstinate ideals in BL-algebras are introduced. With respect to this concepts, some related results are given. In particular, it is proved that an ideal is an n-fold implicative ideal if and only if is an n-fold Boolean ideal. Also, it is shown that a BL-algebra is an n-fold integral BL-algebra if and only if trivial ideal {0} is an n-fold obstinate ideal. Moreover, the relation between n-fold obstinate ideals and n-fold (integral) obstinate filters in BL-algebras are studied by using the set of complement elements. Finally, it is proved that ideal I of BL-algebra L is an n-fold obstinate ideal if and only if \(\frac{L}{I}\) is an n-fold obstinate BL-algebra.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2018, 38, 2; 255-271
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja