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International Journal of Theoretical Physics

, Volume 47, Issue 1, pp 280–290 | Cite as

Tensor Product of Distributive Sequential Effect Algebras and Product Effect Algebras

  • Eissa D. Habil
Article

Abstract

A distributive sequential effect algebra (DSEA) is an effect algebra on which a distributive sequential product with natural properties is defined. We define the tensor product of two arbitrary DSEA’s and we give a necessary and sufficient condition for it to exist. As a corollary we obtain the result (see Gudder, S. in Math. Slovaca 54:1–11, 2004, to appear) that the tensor product of a pair of commutative sequential effect algebras exists if and only if they admit a bimorphism. We further obtain a similar result for the tensor product of a pair of product effect algebras.

Keywords

Effect algebras Sequential products Distributive sequential products Tensor products Product effect algebras Fuzzy sets 

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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of MathematicsIslamic University of GazaGazaPalestine

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