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the prime state ideal theorem in state residuated lattices
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نویسنده
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woumfo francis ,alomo etienne romuald temgoua ,lele celestin
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منبع
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categories and general algebraic structures with applications - 2023 - دوره : 18 - شماره : 1 - صفحه:131 -153
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چکیده
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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.
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کلیدواژه
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state ideal ,frame ,residuated lattice
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آدرس
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university of dschang, faculty of sciences, department of mathematics and computer science, cameroon, university of yaound´e 1, department of mathematics, cameroon, university of dschang, faculty of science, department of mathematics and computer science, cameroon
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پست الکترونیکی
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celestinlele@yahoo.com
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Authors
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