International Journal of Theoretical Physics

, Volume 44, Issue 7, pp 755–770

Uniqueness and Order in Sequential Effect Algebras

Article

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.

Keywords

rings and algebras quantum algebra 

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Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of DenverDenver
  2. 2.Department of MathematicsLouisiana Tech UniversityRuston
  3. 3.Department of MathematicsUniversity of DenverDenver

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