Commutative bounded integral residuated orthomodular lattices are Boolean algebras

被引：0
作者：
Josef Tkadlec
Esko Turunen
机构：
[1] Czech Technical University,
[2] Tampere University of Technology,undefined
来源：
Soft Computing | 2010年 / 15卷
关键词：
Residuated lattice; Orthomodular lattice;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that a commutative bounded integral orthomodular lattice is residuated iff it is a Boolean algebra. This result is a consequence of (Ward, Dilworth in Trans Am Math Soc 45, 336–354, 1939, Theorem 7.31); however, out proof is independent and uses other instruments.
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页码：635 / 636
页数：1
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