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  1. No Access

    Article

    Antosik-Mikusinski Matrix Convergence Theorem in Quantum Logics

    In this paper we establish the order topology type Antosik-Mikusinski infinite matrix convergence theorem in quantum logics. As application, we prove the Hahn-Schur summation theorem in quantum logics, too.

    Junde Wu, Shijie Lu, Dohan Kim in International Journal of Theoretical Physics (2003)

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    Article

    Pseudo-Effect Algebras and Pseudo-Difference Posets

    In this paper, we introduce two different operations in pseudo-effect algebras and also introduce the pseudo-difference posets. We prove that the pseudo-effect algebras and the pseudo-difference posets are the...

    Zhihao Ma, Junde Wu, Shijie Lu in International Journal of Theoretical Physics (2004)

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    Article

    Ideals and Filters in Pseudo-Effect Algebras

    In this paper, we show that the filters and local filters are equivalent in pseudo-effect algebras. Ideals and local ideals and generalized ideals are equivalent in the pseudo-effect algebras, too.

    Zhihao Ma, Junde Wu, Shijie Lu in International Journal of Theoretical Physics (2004)

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    Article

    Ideal Topology on Effect Algebras

    The ideals of effect algebras induce a topology on effect algebras. The operations ⊕ and ⊖ of effect algebras are continuous with respect to this topology.

    Zhihao Ma, Junde Wu, Shijie Lu in International Journal of Theoretical Physics (2004)