%0 Journal Article
%T State filters in state residuated lattices
%J Categories and General Algebraic Structures with Applications
%I Shahid Beheshti University
%Z 2345-5853
%A Dehghani, Zahra
%A Forouzesh, Fereshteh
%D 2019
%\ 01/01/2019
%V 10
%N 1
%P 17-37
%! State filters in state residuated lattices
%K State prime
%K state obstinate
%K state primary
%K state filter
%R 10.29252/cgasa.10.1.17
%X In this paper, we introduce the notions of prime state filters, obstinate state filters, and primary state filters in state residuated lattices and study some properties of them. Several characterizations of these state filters are given and the prime state filter theorem is proved. In addition, we investigate the relations between them.
%U https://cgasa.sbu.ac.ir/article_57443_54c325a96968ad9468cd031b52f62cf4.pdf