Title
Wajsberg algebras of order $n (n\le 9)$.
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 <= 9.
Year
DOI
Venue
2020
10.1007/s00521-019-04676-x
NEURAL COMPUTING & APPLICATIONS
Keywords
DocType
Volume
MV-algebras,Wajsberg algebras,BCK-commutative algebras
Journal
32.0
Issue
ISSN
Citations 
17
0941-0643
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Cristina Flaut134.73
ŠáRka HošKová-Mayerová225.24
arsham borumand saeid313032.22
Radu Vasile400.34