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Genetic Algebras generated by b−bistochastic Quadratic Stochastic Operators: The Character and Associativity.

Authors :
Embong, A. F.
Zulkifly, M. I. E.
Awg Arifin, D. N. A.
Source :
Malaysian Journal of Mathematical Sciences. Mar2023, Vol. 17 Issue 1, p25-41. 17p.
Publication Year :
2023

Abstract

In the present paper we consider a genetic algebra induced by b−bistochastic Quadratic Stochastic Operators (QSOs) which is called b−bistochastic genetic algebra. First, we characterize their nontrivial character function on Rn. It turns out that, the given character function is not unique, hence full descriptions of such functions on R¹ and R² are established. Moreover, the defined algebra is commutative but not associative in general, hence, the associativity of b−bistochastic genetic algebras defined on R¹ and R² are described. In this work, the existence of non-trivial derivations on such algebras are given. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
18238343
Volume :
17
Issue :
1
Database :
Academic Search Index
Journal :
Malaysian Journal of Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
163955896
Full Text :
https://doi.org/10.47836/mjms.17.1.03