Chajda, I., & Länger, H. (2016). A triple representation of lattice effect algebras. Mathematica Slovaca, 32(3), 1261–1266. https://doi.org/10.1515/ms-2016-0221
lattice effect algebra; right near semiring; characterizing triple
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Abstract:
A mutual relationship between MV-algebras and coupled semirings as established by L. P. Belluce, A. Di Nola, A. R. Ferraioli and B. Gerla is extended to lattice effect algebras and so-called characterizing triples. We show that this correspondence is in fact one-to-one and hence every lattice effect algebra can be considered as an ordered triple consisting of two semiring-like structures and an antitone involution which is an isomorphism between these structures.
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Research Areas:
außerhalb der gesamtuniversitären Forschungsschwerpunkte: 100%
