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Orthomodular Lattices and Quantales

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Abstract

Let L be a complete orthomodular lattice. There is a one to one correspondence between complete Boolean subalgebras of L contained in the center of L and endomorphisms j of L satisfying the Borceux–van den Bossche conditions.

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Authors and Affiliations

  1. Instituto de Matemáticas, UNAM, Area de la Investigación Científica, Ciudad Universitaria, México, D.F., Mexico, 04510

    Leopoldo Román

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  1. Leopoldo Román
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Correspondence to Leopoldo Román.

Additional information

This article is dedicated to Raquel Hernández.

SUBJCLASS: 0210.Ab, 0210.De, 03.65.-ca

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Román, L. Orthomodular Lattices and Quantales. Int J Theor Phys 44, 783–791 (2005). https://doi.org/10.1007/s10773-005-7056-9

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  • DOI: https://doi.org/10.1007/s10773-005-7056-9

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