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Neural Computing and Applications
Published in: Neural Computing and Applications 17/2020

23-12-2019 | Original Article

Wajsberg algebras of order \(n (n\le 9)\)

Authors: Cristina Flaut, Šárka Hošková-Mayerová, Arsham Borumand Saeid, Radu Vasile

Published in: Neural Computing and Applications | Issue 17/2020

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Abstract

Knowing the applications of logical algebras in various fields, such as artificial intelligence or coding theory, in this paper, we study some properties of a special class of such algebras, namely finite Wajsberg algebras. For this purpose, we give a representation theorem for finite Wajsberg algebras and give a formula for the number of non-isomorphic Wajsberg algebras of order n; also we give the total number of finite Wajsberg algebras of order n. Since a big value of n involves a lot of computations, as examples, we present and describe all finite Wajsberg algebras of order \(n\le 9\).
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Metadata
Title
Wajsberg algebras of order
Authors
Cristina Flaut
Šárka Hošková-Mayerová
Arsham Borumand Saeid
Radu Vasile
Publication date
23-12-2019
Publisher
Springer London
Published in
Neural Computing and Applications / Issue 17/2020
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-019-04676-x

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