The lattice of congruences on a subdirectly irreducible weak Stone-Ockham algebra (Q2909085)
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scientific article; zbMATH DE number 6073856
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The lattice of congruences on a subdirectly irreducible weak Stone-Ockham algebra |
scientific article; zbMATH DE number 6073856 |
Statements
29 August 2012
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Ockham algebra
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weak Stone algebra
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demi-pseudocomplemented lattice
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subdirectly irreducible algebra
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The lattice of congruences on a subdirectly irreducible weak Stone-Ockham algebra (English)
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Weak Stone-Ockham algebras are algebras \((L;\wedge,\vee,f,^{\star},0,1)\) of type \((2,2,1,1,0,0)\), where \((L;\wedge,\vee,f,0,1)\) is an Ockham algebra, \((L;\wedge,\vee,^{\star},0,1)\) is a weak Stone algebra and the unary operations \(f\) and \(^{\star}\) commute.NEWLINENEWLINEIn the paper, a complete description of the structure of the lattice of congruences of subdirectly irreducible weak Stone-Ockham algebras is presented.
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