A triple representation of lattice effect algebras

Rok, strany: 2016, 1261 - 1266

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.

ISO 690:

Chajda, I., Länger, H. 2016. A triple representation of lattice effect algebras. In Mathematica Slovaca, vol. 66, no.6, pp. 1261-1266. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0221

APA:

Chajda, I., Länger, H. (2016). A triple representation of lattice effect algebras. Mathematica Slovaca, 66(6), 1261-1266. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0221