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Tensor products of divisible effect algebras

Published online by Cambridge University Press:  17 April 2009

Sylvia Pulmannová
Sylvia Pulmannová
Affiliation:
Mathematical Institute, Sovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia e-mail: pulmann@mau.savba.sk
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Abstract

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Tensor products of divisible effect algebras and tensor products of the corresponding universal groups are studied. It is shown that the universal group of the tensor product of divisible effect algebras is (isomorphic to) the tensor product of the corresponding universal groups. Moreover, it is shown that the tensor product of two unit intervals [0, 1] of real numbers is not a lattice.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 68 , Issue 1 , August 2003 , pp. 127 - 140
Copyright
Copyright © Australian Mathematical Society 2003

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