Monadic GMV-algebras (Q938237)
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scientific article; zbMATH DE number 5313051
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monadic GMV-algebras |
scientific article; zbMATH DE number 5313051 |
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Monadic GMV-algebras (English)
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18 August 2008
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In a recent paper, there appeared plenty new algebraic models that were inspired by Łukasiewicz many-valued calculus. They generalized MV-algebras not assuming commutativity any more. One such algebraic model are the GMV-algebras, introduced by the first author and independently by \textit{G. Georgescu} and \textit{A. Iorgulescu} [``Pseudo-MV algebras'', Mult.-Valued Log. 6, No. 1--2, 95--135 (2001; Zbl 1014.06008)]. These algebras are always an interval in a unital \(\ell\)-group with strong unit. The authors introduce monadic GMV-algebras and study also polyadic GMV-algebra. Some relations among ideals and congruences, and among varieties are shown.
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monadic GMV-algebra
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quantifier
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left adjoint mapping
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polyadic GMV-algebra
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ideals
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congruences
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varieties
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