Simple axioms for orthomodular implication algebras (Q1768659)

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scientific article; zbMATH DE number 2146114
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Simple axioms for orthomodular implication algebras
scientific article; zbMATH DE number 2146114

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    Simple axioms for orthomodular implication algebras (English)
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    15 March 2005
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    The authors improve their axiomatic system for an orthomodular implication algebra [\textit{I. Chajda, R. Halaš} and \textit{H. Länger}, ``Orthomodular implication algebras'', Int. J. Theor. Phys. 40, 1875--1884 (2001; Zbl 0992.06008)]. The new system has less axioms, the most complex one is simplified, and the independence of the new axioms is proved.
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    implication algebra
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    orthoimplication algebra
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    orthomodular implication algebra
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    independent axioms
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    ortholattice
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