Modifications of MV-algebras corresponding to strong ortholattices

• Autorzy: Chajda I. , Länger H.
• Języki publikacji: EN

Abstrakty

EN

It is well-known that principal filters of MV-algebras are de Morgan algebras with involutory complementation. A modification of the notion of an MV-algebra is presented having the property that all principal filters are ortholattices. It turns out that the commutativity of these modified MV-algebras is equivalent to the distributivity of the corresponding ortholattices.

Słowa kluczowe

EN

Morgan algebra; MV-algebra; ortholattice; strong ortholattice; modified MV-algebra

PL

algebra MV; algebra Morgana; ortostruktury

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 1
• Strony: 1--6
• Opis fizyczny: Bibliogr. 1 poz.

Twórcy

autor

Chajda I.

• Department of Algebra and Geometry, Palacký University Olomouc, Tomkova 40, 77900 Olomouc, Czech Republic

autor

Länger H.

• Institute of Discrete Mathatematics and Geometry, Research Unit Algebra, Vienna University of Technology, Wiedner Hauptstraße 8-10, 1040 Vienna, Austria

Bibliografia

• [1] A. Dvurečenskij and S. Pulmannová, New Trends in Quantum Structures, Kluwer, Dordrecht 2000.