- 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