Representations of zero-cancellative pomonoids. (Q2877074)
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scientific article; zbMATH DE number 6333347
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representations of zero-cancellative pomonoids. |
scientific article; zbMATH DE number 6333347 |
Statements
21 August 2014
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MV-algebras
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zero-cancellative commutative pomonoids
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linearly ordered pomonoids
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linearly representable pomonoids
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countable finite embedding property
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Farkas lemma
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ultrafilters
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ultraproducts
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Di Nola representation theorem
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Representations of zero-cancellative pomonoids. (English)
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The paper presents a representation theorem of zero-cancellative pomonoids, the key result is a generalization of Di Nola's representation theorem in such field. The author investigates on the countable finite embedding property, and in particular, he shows that both linearly ordered and linearly representable zero-cancellative pomonoids have the CFEP. Furthermore in Section 4 he presents the main results, which are many variants of Di Nola's representation theorem.
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