State relative annihilators in state residuated lattices
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The main purpose of this paper is to introduce and study the notion of state relative annihilator in the framework of state residuated lattices (SRLs), along with some related properties. We show that this concept of state relative annihilator in SRLs is a generalization of the existing one in De Morgan state residuated lattices. Among many other results, we prove that state relative annihilators are a particular type of state ideals of state residuated lattices. Furthermore, we establish some links between state-morphism operators and annihilators in state residuated lattices.
Abstract
The main purpose of this paper is to introduce and study the notion of state relative annihilator in the framework of state residuated lattices (SRLs), along with some related properties. We show that this concept of state relative annihilator in SRLs is a generalization of the existing one in De Morgan state residuated lattices. Among many other results, we prove that state relative annihilators are a particular type of state ideals of state residuated lattices. Furthermore, we establish some links between state-morphism operators and annihilators in state residuated lattices.
참고문헌 (20)
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