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Some classical theorems in state residuated lattices

Publish Year: 1400
Type: Journal paper
Language: English
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JR_ASYAZDT-8-1_008

Index date: 5 January 2023

Some classical theorems in state residuated lattices abstract

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.

Some classical theorems in state residuated lattices Keywords:

Some classical theorems in state residuated lattices authors

Mohammad Taheri

Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.

Farhad Khaksar Haghani

Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.

Saeed Rasouli

Department of Mathematics, Persian Gulf University, Bushehr, Iran.

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