INTEGRAL FILTERS AND INTEGRAL BL-ALGEBRAS

Rajab Ali Borzooei; A. Paad

INTEGRAL FILTERS AND INTEGRAL BL-ALGEBRAS

Autori

Rajab Ali Borzooei Shahid Beheshti University - Department of Mathematics
A. Paad Shahid Beheshti University - Department of Mathematics

Parole chiave:

BL-algebra, integral BL-algebra, BL-algebra with Godel negation, Gödel algebra, MV-algebra, fantastic, primary, integral, perfect and positive implicative filter

Abstract

In this paper, we introduce the concepts of integral filters and integral BL-algebras. With respect to concepts, we give some related results. In particular, we prove that an integral BL-algebra is a perfect, local, directly indecomposable BL-algebra and SBL-algebra. Also, we give some relations among integral filters and some types of filters in BL-algebras, such as prime, primary, perfect, fantastic, positive implicative and obstinate filters.

Cover of n°30 Italian Journal of Pure and Applied Mathematics

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Pubblicato

2013-05-24

Come citare

Borzooei, R. A., & Paad, A. (2013). INTEGRAL FILTERS AND INTEGRAL BL-ALGEBRAS. Italian Journal of Pure and Applied Mathematics, 30, 303–316. Recuperato da https://journals.uniurb.it/index.php/ijpam/article/view/6076