Embong, Ahmad Fadillah and Zulkifly, Mohammad Izat Emir and Awg Arifin, D. N. A.
(2023)
*Genetic algebras generated by b-bistochastic quadratic stochastic operators: the character and associativity.*
Malaysian Journal of Mathematical Sciences, 17
(1).
pp. 25-41.
ISSN 1823-8343

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Official URL: http://dx.doi.org/10.47836/mjms.17.1.03

## Abstract

In the present paperwe 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.

Item Type: | Article |
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Uncontrolled Keywords: | b-bistochastic, genetic algebra, non-associative algebra, non-linear operator, quadratic stochastic operators |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 105365 |

Deposited By: | Yanti Mohd Shah |

Deposited On: | 24 Apr 2024 06:39 |

Last Modified: | 24 Apr 2024 06:39 |

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