About Special Elements in Quaternion Algebras Over Finite Fields

被引:0
作者
Diana Savin
机构
[1] Ovidius University,Faculty of Mathematics and Computer Science
来源
Advances in Applied Clifford Algebras | 2017年 / 27卷
关键词
Fibonacci number; Fibonacci quaternion; Finite field; Generalized Fibonacci–Lucas quaternion; Lucas number; Quaternion algebra; Primary 11R52; 11B39; Secondary 15A06; 16G30;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper we study special Fibonacci quaternions and special generalized Fibonacci–Lucas quaternions in quaternion algebras over finite fields.
引用
收藏
页码:1801 / 1813
页数:12
相关论文
共 50 条
[21]   A New Criterion on k-Normal Elements over Finite Fields [J].
Zhang, Aixian ;
Feng, Keqin .
CHINESE ANNALS OF MATHEMATICS SERIES B, 2020, 41 (05) :665-678
[22]   The existence of primitive normal elements of quadratic forms over finite fields [J].
Hazarika, Himangshu ;
Basnet, Dhiren Kumar ;
Cohen, Stephen D. .
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022, 21 (04)
[23]   On Existence of Primitive Normal Elements of Cubic Form over Finite Fields [J].
Hazarika, Himangshu ;
Basnet, Dhiren Kumar .
ALGEBRA COLLOQUIUM, 2022, 29 (01) :151-166
[24]   Existence and properties of k-normal elements over finite fields [J].
Huczynska, Sophie ;
Mullen, Gary L. ;
Panario, Daniel ;
Thomson, David .
FINITE FIELDS AND THEIR APPLICATIONS, 2013, 24 :170-183
[25]   Some equations over generalized quaternion and octonion division algebras [J].
Flaut, Cristina ;
Stefanescu, Mirela .
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2009, 52 (04) :427-439
[26]   A computational algebraic geometry approach to enumerate Malcev magma algebras over finite fields [J].
Falcon, Oscar J. ;
Falcon, Raul M. ;
Nunez, Juan .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (16) :4901-4913
[27]   Some Open Questions about Curves and Abelian Varieties over Finite Fields [J].
Nicholas M. Katz .
Vietnam Journal of Mathematics, 2023, 51 :715-720
[28]   More results about a class of quadrinomials over finite fields of odd characteristic [J].
Gupta, Rohit .
COMMUNICATIONS IN ALGEBRA, 2022, 50 (01) :324-333
[29]   Some Open Questions about Curves and Abelian Varieties over Finite Fields [J].
Katz, Nicholas M. .
VIETNAM JOURNAL OF MATHEMATICS, 2023, 51 (03) :715-720
[30]   Isomorphism and Isotopism Classes of Filiform Lie Algebras of Dimension up to Seven Over Finite Fields [J].
O. J. Falcón ;
R. M. Falcón ;
J. Núñez .
Results in Mathematics, 2017, 71 :1151-1166