Weak MV-algebras |
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Authors: | Radomír Hala? Lubo? Plojhar |
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Institution: | (1) Department of Algebra and Geometry, Palacky University Olomouc, Tomkova 40, CZ-Olomouc, Czech Republic |
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Abstract: | In a recent paper CHAJDA, I.—KüHR, J.: A non-associative generalization of MV-algebras, Math. Slovaca 57, (2007), 301–312], authors introduced and studied a non-associative generalization of MV-algebras called NMV-algebras. In
contrast to MV-algebras, sections (i.e. principal filters) in NMV-algebras which are proper (i.e. are not MV-algebras), do
not admit a structure of an NMV-algebra with respect to the operations defined in a natural way. The aim of the paper is to
present a new class of algebras generalizing MV-algebras but sharing the above property.
The financial support by the grant of Czech Government MSM 6198959214 is gratefully acknowledged. |
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Keywords: | MV-algebra λ -lattice (section) involution |
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