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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
A category equivalence for odd Sugihara monoids and its applications
Journal of Pure and Applied Algebra, Volume 216, No. 10, Year 2012
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Description
An odd Sugihara monoid is a residuated distributive lattice-ordered commutative idempotent monoid with an order-reversing involution that fixes the monoid identity. The main theorem of this paper establishes a category equivalence between odd Sugihara monoids and relative Stone algebras. In combination with known results, it swiftly determines which varieties of odd Sugihara monoids are [strongly] amalgamable and which have the strong [or weak] epimorphism-surjectivity property. In particular, the full variety is shown to have all of these properties. The results extend, with slight modification, to the case where the algebras are bounded. Logical applications include immediate answers to some questions about projective and finite Beth definability and interpolation in the uninorm-based logic . IUML, its boundless fragment and all of their extensions. © 2012 Elsevier B.V.
Authors & Co-Authors
Galatos, Nikolaos
United States, Denver
University of Denver
Raftery, James Gordon
South Africa, Durban
University of Kwazulu-natal
Statistics
Citations: 48
Authors: 2
Affiliations: 2
Identifiers
Doi:
10.1016/j.jpaa.2012.02.006
ISSN:
00224049