6533b830fe1ef96bd129792d
RESEARCH PRODUCT
Extended-order algebras as a generalization of posets
Sergey A. Solovyovsubject
Quadratic algebraAlgebraInterior algebraJordan algebraGeneral MathematicsSubalgebraClifford algebraAlgebra representationDivision algebraAbstract algebraMathematicsdescription
Motivated by the recent study of several researchers on extended-order algebras, introduced by C. Guido and P. Toto as a possible common framework for the majority of algebraic structures used in many-valued mathematics, the paper focuses on the properties of homomorphisms of the new structures, considering extended-order algebras as a generalization of partially ordered sets. The manuscript also introduces the notion of extended-relation algebra providing a new framework for developing the theory of rough sets.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-01-01 | Demonstratio Mathematica |