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Titel
A Representation of Lattice Effect Algebras by Means of Right Near Semirings with Involution
VerfasserChajda, Ivan ; Länger, Helmut In der Gemeinsamen Normdatei der DNB nachschlagen
Erschienen in
International Journal of Theoretical Physics, 2016,, S. 1-8
Erschienen2016
Ausgabe
Published version
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)Effect algebra / Lattice effect algebra / Right near semiring / Antitone involution / Effect near semiring
URNurn:nbn:at:at-ubtuw:3-2739 Persistent Identifier (URN)
DOI10.1007/s10773-016-3191-8 
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A Representation of Lattice Effect Algebras by Means of Right Near Semirings with Involution [0.17 mb]
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Zusammenfassung (Englisch)

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.

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