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Article
A class of congruences in partial Abelian semigroups
In this paper, by basing on the special morphism of Habil, we introduce and study a class of congruences in partial Abelian semigroups and obtain some interesting properties.
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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.
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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...
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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.
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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.
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Article
Perturbations of the radical of nest algebras
Let RN and KN be the radical ideal and the compact operator ideal of nest algebra ℐ(N) respectively. It is proved that