- Tytuł:
- On monadic quantale algebras: basic properties and representation theorems
- Autorzy:
- Solovyov, Sergey
- Powiązania:
- https://bibliotekanauki.pl/articles/729061.pdf
- Data publikacji:
- 2010
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
m-semilattice
⋁-lattice
quantale
quantale module
topological system
tropological system
quantale algebra
quantaloid
quantale algebroid
quantifier
monadic quantale algebra
Girard quantale
Q-equivalence relation
Ω-valued set
GL-monoid
commutative integral cl-monoid - Opis:
- 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.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2010, 30, 1; 91-118
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł