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On monadic quantale algebras: basic properties and representation theorems
Sergey A. Solovyovsubject
Algebra and Number TheoryAlgebraic structureApplied MathematicsQuantaleAlgebraMathematics::LogicInterior algebraDistributive propertyComputer Science::Logic in Computer ScienceMathematics::Category TheoryBounded functionLattice (order)QuantaloidMathematicsdescription
Motivated by the concept of quantifier (in the sense of P. Halmos) on different algebraic structures (Boolean algebras, Heyting algebras, MV-algebras, orthomodular lattices, bounded distributive lattices) and the resulting notion of monadic algebra, the paper introduces the concept of a monadic quantale algebra, considers its properties and provides several representation theorems for the new structures.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-01-01 | Discussiones Mathematicae - General Algebra and Applications |