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Titlebook: Non-commutative Multiple-Valued Logic Algebras; Lavinia Corina Ciungu Book 2014 Springer International Publishing Switzerland 2014 BCI-Alg

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Other Non-commutative Multiple-Valued Logic Algebras,pseudo-BL algebras and pseudo-MV algebras. As main results, we extend to the case of pseudo-MTL algebras some results regarding the prime filters proved for pseudo-BL algebras. The Glivenko property for multiple-valued logic algebras is defined and studied.
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Measures on Pseudo-BCK Algebras,bounded. In particular, we show that if . is a downwards-directed pseudo-BCK algebra and . a measure on it, then the quotient over the kernel of . can be embedded into the negative cone of an Abelian, Archimedean .-group as its subalgebra. This result will enable us to characterize nonzero measure-m
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Generalized States on Residuated Structures,strong type II state is an order-preserving type I state. We prove that any perfect FL.-algebra admits a strong type I and type II state. Some conditions are given for a generalized state of type I on a linearly ordered bounded R.-monoid to be a state operator..We introduce the notion of generalized
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Pseudo-hoops with Internal States,te-morphism pseudo-hoops. We define the notions of state operator, strong state operator, state-morphism operator, weak state-morphism operator and we study their properties. We prove that every strong state pseudo-hoop is a state pseudo-hoop and any state operator on an idempotent pseudo-hoop is a
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