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Irreversibility of recursive Heaviside memory functions: a distributional perspective on structural cognition. [PDF]
Shin C.
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Canonicalizing Zeta Generators: Genus Zero and Genus One. [PDF]
Dorigoni D +7 more
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Spectral Properties of Partial *-Algebras [PDF]
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Camillo Trapani +2 more
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Algebraic partial Boolean algebras
Journal of Physics A: Mathematical and General, 2003Partial Boolean algebras are algebraic in this paper in the sense that their elements have coordinates in an algebraic number field. Within this context the author shows that every algebraic finitely-generated partial Boolean algebra is finite when the underlying space is three-dimensional.
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Pseudo-BCK algebras as partial algebras
Information Sciences, 2010From the author's abstract: ``We consider subreducts of residuated lattices, the monoidal and the meet operation being dropped: the resulting algebras are pseudo-BCK semilattices. Assuming divisibility, we can pass on to partial algebras. To reconstruct the underlying group structure from this partial algebra, if applicable, is straightforward.
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Algebraic Representation Theory of Partial Algebras
Annales Henri Poincaré, 2001The notions of irreducibility and complete reducibility of representations of a partial algebra are defined and characterized. Furthermore, the decomposition theory of completely reducible representations is discussed.
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A Representation of Partial Boolean Algebras
Fundamenta Informaticae, 1992We prove that every partial boolean algebra is isomorphic to a partial boolean algebra of sets. As a consequence we obtain finite axiomatization of the theory of partial boolean algebras.
Andrzej Ehrenfeucht, Marek W. Zawadowski
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PARTIAL ALGEBRAIC CONDITIONAL SPACES
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004Conditioning plays a central role, both from a theoretical and practical point of view, in domains such as logic and probability, or rule–based expert systems. In classical approaches to probability, there is the notion of "conditional probability" P(E|H), but usually there is no meaning given to E|H itself.
Antonio Di Nola, Romano Scozzafava
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