Title of article
The prime state ideal theorem in state residuated lattices
Author/Authors
Woumfo ، Francis Department of Mathematics and Computer Science - Faculty of Sciences - University of Dschang , Alomo ، Etienne Romuald Temgoua Department of Mathematics - University of Yaound´e 1 , Lele ، Celestin Department of Mathematics and Computer Science - Faculty of Science - University of Dschang
From page
131
To page
153
Abstract
The aim of this paper is to establish the prime state ideal the-orem in state residuated lattices (SRLs). We study the state ideals lattice SI(L) of a state residuated lattice (L, φ) and prove that it is a complete Brouwerian lattice in which the meet and the join of any two compact ele- ments are compact (coherent frame). We characterize the notion of prime state ideals in SRLs. In addition, we establish the condition for which the lattice SI(L) is a Boolean algebra.
Keywords
State ideal , frame , Residuated lattice
Journal title
Categories and General Algebraic Structures with Applications
Journal title
Categories and General Algebraic Structures with Applications
Record number
2737277
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