Some Results on Stabilizers in Residuated Lattices
Masoud Haveshki · DergiPark (Istanbul University) · 2014
Borumand and Mohtashamnia in [1] introduced the notion of the (right and left) stabilizer inresiduated lattices and proved some theorems which determine the relationship between this notion and sometypes 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 withoutany condition. Also, we prove Theorem 3.8 and part (4) of Proposition 3.3 in [1] more generally and finallyobtain some new and useful theorems on stabilizers in residuated lattices.