Some classical theorems in state residuated lattices

نویسندگان
حاجی امیری مرضیه ID 1
اسماعیلزاده مرضیه ID 2
سلیمانی محمدجواد ID 3

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3 دانشگاه فردوسی مشهد

doi
10.22034/as.2020.1910
چکیده

This paper, by considering the notion of a state residuated lattice morphism in the class of state residuated lattices, investigates some classical theorems namely the going up and lying over theorems. Results show that each state residuated lattice morphism fulfills these theorems. Also, some properties about prime filters of residuated lattices are obtained which are given in the paper.

کلیدواژه‌ها
Mohammad Taheri1, Farhad Khaksar Haghani1, Saeed Rasouli2, Going up theorem, Lying over theorem, State residuated lattice