The variety of modular basic algebras generated by MV-chains and horizontal sums of three-element chain basic algebras (Q712687)
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scientific article; zbMATH DE number 6094590
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The variety of modular basic algebras generated by MV-chains and horizontal sums of three-element chain basic algebras |
scientific article; zbMATH DE number 6094590 |
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The variety of modular basic algebras generated by MV-chains and horizontal sums of three-element chain basic algebras (English)
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17 October 2012
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Basic algebras are a common generalisation of MV-algebras, lattice effect algebras and orthomodular lattices. They can be identified with bounded lattices with section-antitone involutions. Effect basic algebras form a subvariety of the basic algebras. In this paper, the authors axiomatise the variety of effect basic algebras with underlying modular lattice, generated by MV-chains and horizontal sums of three-element chain basic algebras.
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basic algebra
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horizontal sum
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MV-algebra
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effect algebra
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