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

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Residuated Lattices,ies of a residuated lattice and the lattice of filters of a residuated lattice, we study the Boolean center of an FL.-algebra and we define and study the directly indecomposable FL.-algebras. We prove that any linearly ordered FL.-algebra is directly indecomposable and any subdirectly irreducible FL

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Generalized States on Residuated Structures,otion of Glivenko property defined for the non-commutative case. The main results consist of proving that any order-preserving type I state is a generalized Riečan state and in some particular conditions the two states coincide. We introduce the notion of a generalized local state on a perfect pseud

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1439-7382 Algebras. will be of interest to masters and PhD students, as well as researchers in mathematical logic and theoretical computer science..978-3-319-03299-3978-3-319-01589-7Series ISSN 1439-7382 Series E-ISSN 2196-9922

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Pseudo-BCK Algebras,hat is, a least element. Another motivation is from classical and non-classical prepositional calculi modeling logical implications. Such algebras contain as a special subfamily the family of MV-algebras where some important fuzzy structures can be studied. Pseudo-BCK algebras were introduced by G.

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Pseudo-hoops,isibility condition and it is a meet-semilattice, so a bounded R.-monoid can be viewed as a bounded pseudohoop together with the join-semilattice property. In other words, a bounded pseudohoop is a meet-semilattice ordered residuated, integral and divisible monoid..In this chapter we present the mai