Some types of filters in BL algebras

Authors:
M. Haveshki;A. Borumand Saeid;E. Eslami
Affiliations:
Department of Mathematics, Islamic Azad University of Kerman, Kerman, Iran;Department of Mathematics, Islamic Azad University, Kerman, Iran;Department of Mathematics, Islamic Azad University of Kerman, Kerman, Iran
Venue:
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Year:
2006

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Abstract

In this paper we introduce some types of filters in a BL algebra A, and we state and prove some theorems which determine the relationship between these notions and other filters of a BL algebra, and by some examples we show that these notions are different. Also we consider some relations between these filters and quotient algebras that are constructed via these filters.