TY - JOUR ID - 57443 TI - State filters in state residuated lattices JO - Categories and General Algebraic Structures with Applications JA - CGASA LA - en SN - 2345-5853 AU - Dehghani, Zahra AU - Forouzesh, Fereshteh AD - Higher Education Complex of Bam, Iran AD - Faculty of Mathematics and computing, Higher Education Complex of Bam, Kerman, Iran. Y1 - 2019 PY - 2019 VL - 10 IS - 1 SP - 17 EP - 37 KW - State prime KW - state obstinate KW - state primary KW - state filter DO - 10.29252/cgasa.10.1.17 N2 - 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. UR - https://cgasa.sbu.ac.ir/article_57443.html L1 - https://cgasa.sbu.ac.ir/article_57443_54c325a96968ad9468cd031b52f62cf4.pdf ER -