Title: A Representation of Lattice Effect Algebras by Means of Right Near Semirings with Involution
Language: English
Authors: Chajda, Ivan
Länger, Helmut
Category: Research Article
Issue Date: 2016
Journal: International Journal of Theoretical Physics
ISSN: 1572-9575
Since every lattice effect algebra decomposes into blocks which are MV-algebras and since every MV-algebra can be represented by a certain semiring with an antitone involution as shown by Belluce, Di Nola and Ferraioli, the natural question arises if a lattice effect algebra can also be represented by means of a semiring-like structure. This question is answered in the present paper by establishing a one-to-one correspondence between lattice effect algebras and certain right near semirings with an antitone involution.
Keywords: Effect algebra; Lattice effect algebra; Right near semiring; Antitone involution; Effect near semiring
DOI: 10.1007/s10773-016-3191-8
Library ID: AC11361199
URN: urn:nbn:at:at-ubtuw:3-2739
Organisation: E104 - Institut für Diskrete Mathematik und Geometrie 
Publication Type: Article
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