Extended-order algebras as a generalization of posets
Abstract: 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 inmany-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.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Extended-order algebras as a generalization of posets ; volume:44 ; number:3 ; year:2011 ; pages:589-614 ; extent:26
Demonstratio mathematica ; 44, Heft 3 (2011), 589-614 (gesamt 26)
- Creator
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Solovyov, Sergey A.
- DOI
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10.1515/dema-2013-0321
- URN
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urn:nbn:de:101:1-2411171655459.866559196265
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:36 AM CEST
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Associated
- Solovyov, Sergey A.
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Dicomplemented lattices : a contextual generalization of Boolean algebras
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Quantum spin models and extended conformal algebras
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