Coreflections in Algebraic Quantum Logic

被引：20
作者：
Jacobs, Bart [1 ]
Mandemaker, Jorik [1 ]
机构：
[1] Radboud Univ Nijmegen, Inst Comp & Informat Sci, NL-6525 ED Nijmegen, Netherlands
来源：
FOUNDATIONS OF PHYSICS | 2012年 / 42卷 / 07期
关键词：
Effect algebra; Partial commutative monoid; Tensor product; Limit and colimit; OPERATIONAL STATISTICS;
D O I：
10.1007/s10701-012-9654-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Various generalizations of Boolean algebras are being studied in algebraic quantum logic, including orthomodular lattices, orthomodular po-sets, orthoalgebras and effect algebras. This paper contains a systematic study of the structure in and between categories of such algebras. It does so via a combination of totalization (of partially defined operations) and transfer of structure via coreflections.
引用
收藏
页码：932 / 958
页数：27
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