Some Results on Stabilizers in Residuated Lattices

Authors : Masoud Haveshki

Pages : 0-0

View : 21 | Download : 7

Publication Date : 2014-11-01

Article Type : Research Paper

Abstract :Borumand and Mohtashamnia in [1] introduced the notion of the insert ignore into journalissuearticles values(right and left); stabilizer in residuated lattices and proved some theorems which determine the relationship between this notion and some types of filters in residuated lattices. In this paper, we show that a part of Theorem 3.10 [1] is not correct. Borumand and Mohtashamnia proved Theorem 4.2 [1] with some conditions. We prove this theorem without any condition. Also, we prove Theorem 3.8 and part insert ignore into journalissuearticles values(4); of Proposition 3.3 in [1] more generally and finally obtain some new and useful theorems on stabilizers in residuated lattices.
Keywords : Residuated lattices, stabilizer, implicative filter, positive implicative filter, fantastic filter, obstinate filter