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Zbl 1104.81018
Gudder, Stan; Greechie, Richard
Uniqueness and order in sequential effect algebras. (English)
[J] Int. J. Theor. Phys. 44, No. 7, 755-770 (2005). ISSN 0020-7748; ISSN 1572-9575/e

Summary: 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.
MSC 2000:
*81P10 Logical foundations of quantum mechanics
03G12 Quantum logic
06C10 Geometric lattices
06C15 Complemented lattices

Keywords: rings and algebras; quantum algebra

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