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