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Joshua B. Palmatier
Extending Chang's construction to the category of m-zeroids and some category containing the category of Abelian ℓ-groups with strong unit view print
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| Published: |
January 24, 2014 |
| Keywords: |
MV-algebras, abelian ℓ-groups, dual abelian ℓ-groups, abelian ℓ-monoids, dual abelian ℓ-monoids, m-zeroid, IMTL-algebras, abelian ℓ-groups with strong unit |
| Subject: |
Primary: 06F99; Secondary: 03G20 |
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Abstract
In this note we prove that it is impossible to extend the natural equivalence between the category of MV-algebras and the category of Abelian ℓ-groups with strong unit described by C. C. Chang,
1958, and Cignoli & Mundici, 1997, to a natural equivalence between the category of m-zeroids and some category containing the category of Abelian ℓ-groups with strong unit.
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| Author information
Department of Mathematics, Computer Science, and Statistics, SUNY College at Oneonta, Oneonta, New York 13820
palmatjb@oneonta.edu
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