Total extensions of effect algebras |
| |
Authors: | Stanley Gudder |
| |
Institution: | (1) Department of Mathematics and Computer Science, University of Denver, 80208 Denver, Colorado |
| |
Abstract: | It is shown that if the natural order on a total extension of an effect algebra coincides with the order on , then is unique. The structure of is called a QI-algebra. It is shown that a QI-algebra is less general than a QMV-algebra, but that a QI-algebra is equivalent to a quasi-linear QMV-algebra. Some examples are given and the properties of these structures are studied. |
| |
Keywords: | effect algebras quantum structures total extensions |
本文献已被 SpringerLink 等数据库收录! |