Uniqueness and Order in Sequential Effect Algebras
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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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- Uniqueness and Order in Sequential Effect Algebras
International Journal of Theoretical Physics
Volume 44, Issue 7 , pp 755-770
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- Kluwer Academic Publishers-Plenum Publishers
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- rings and algebras
- quantum algebra
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- Author Affiliations
- 1. Department of Mathematics, University of Denver, Denver, Colorado, 80208
- 3. Department of Mathematics, University of Denver, Denver, Colorado, 80208
- 2. Department of Mathematics, Louisiana Tech University, Ruston, Louisiana, 71272