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Uniqueness and Order in Sequential Effect Algebras

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Abstract

A sequential effect algebra (SEA) is an effect algebra on which a sequential product is defined. We present examples of effect algebras that admit a unique, many and no sequential product. Some general theorems concerning unique sequential products are proved. We discuss sequentially ordered SEAs in which the order is completely determined by the sequential product. It is demonstrated that intervals in a sequential ordered SEA admit a sequential product.

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Authors and Affiliations

  1. Department of Mathematics, University of Denver, Denver, Colorado, 80208

    Stan Gudder

  2. Department of Mathematics, Louisiana Tech University, Ruston, Louisiana, 71272

    Richard Greechie

  3. Department of Mathematics, University of Denver, Denver, Colorado, 80208

    Stan Gudder

Authors
  1. Stan Gudder
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  2. Richard Greechie
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Correspondence to Stan Gudder.

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Gudder, S., Greechie, R. Uniqueness and Order in Sequential Effect Algebras. Int J Theor Phys 44, 755–770 (2005). https://doi.org/10.1007/s10773-005-7054-y

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  • DOI: https://doi.org/10.1007/s10773-005-7054-y

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