Embeddings into Orthomodular Lattices with Given Centers, State Spaces and Automorphism Groups
نویسندگان
چکیده
We prove that, given a nontrivial Boolean algebra B, a compact convex set S and a groupG, there is an orthomodular latticeL with the center isomorphic toB, the automorphism group isomorphic to G, and the state space affinely homeomorphic to S. Moreover, given an orthomodular lattice J admitting at least one state, L can be chosen such that J is its subalgebra. Mathematics Subject Classifications (2000): 06C15, 81P10.
منابع مشابه
Embeddings into Orthomodular Lattices with given Centres, State Spaces and Automorphism Groups
We prove that, given a nontrivial Boolean algebra B, a compact convex set S and a group G, there is an orthomodular lattice L with the center isomorphic to B, the automorphism group isomorphic to G, and the state space aanely homeomorphic to S. Moreover, given an orthomodular lattice J admitting at least one state, L can be chosen such that J is its subalgebra. 1 Basic deenitions and historical...
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ورودعنوان ژورنال:
- Order
دوره 17 شماره
صفحات -
تاریخ انتشار 2000