Extended-order algebras as a generalization of posets

• Autorzy: Solovyov S. A.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

categorical equivalence; coseparator; epimorphism; extended order algebra; extended relation algebra; implicative algebra; poset; quantale; rough sets

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2011
• Tom: Vol. 44, nr 3
• Strony: 589--614
• Opis fizyczny: Bibliogr. 38 poz.

Twórcy

autor

Solovyov S. A.

• Department Of Mathematics University Of Latvia Zellu Iela 8 Lv-1002 Riga, Latvia,

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