Basic algebras and their applications an overview (Q2837208)
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scientific article; zbMATH DE number 6186378
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Basic algebras and their applications an overview |
scientific article; zbMATH DE number 6186378 |
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10 July 2013
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basic algebra
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lattice with section-antitone involutions
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orthomodular lattice
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MV-algebra
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lattice effect algebra
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Riesz decomposition property
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block
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variety of algebras
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0.8812112
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0.87929326
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Basic algebras and their applications an overview (English)
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Basic algebras have been introduced as a non-commutative generalization of many event structures which appear in quantum or many-valued logics. Here the author summarizes resent advances in this direction. He gives conditions under which a basic algebra is an MV-algebra, an orthomodular lattice, or a lattice-ordered effect algebra. Then he studies varieties of basic algebras and congruence properties.NEWLINENEWLINEFor the entire collection see [Zbl 1234.08003].
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