Quaternion Algebras and Generalized Fibonacci-Lucas Quaternions

被引：18

作者：

Flaut, Cristina ^{[1
]}

Savin, Diana ^{[1
]}

机构：

[1] Ovidius Univ, Fac Math & Comp Sci, Constanta 900527, Romania

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2015年 / 25卷 / 04期

关键词：

Generalized quaternion algebra; Fibonacci numbers; Lucas numbers;

D O I：

10.1007/s00006-015-0542-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the generalized Fibonacci-Lucas quaternions and we prove that the set of these elements is an order-in the sense of ring theory-of a quaternion algebra. Moreover, we investigate some properties of these elements.

引用

页码：853 / 862

页数：10

共 10 条

[1] Fibonacci Generalized Quaternions [J].

Akyigit, Mahmut ;

Kosal, Hidayet Huda ;

Tosun, Murat .

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2014, 24 (03) :631-641

[2]

Flaut C., 2001, An. St. Univ. Ovidius Constanta, V9, P45

[3]

Flaut C., 2013, J MATH SCI ADV APPL, V20, P37

[4]

Flaut C, 2014, MATH REP, V16, P443

[5] On Generalized Fibonacci Quaternions and Fibonacci-Narayana Quaternions [J].

Flaut, Cristina ;

Shpakivskyi, Vitalii .

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2013, 23 (03) :673-688

[6] A GENERALIZED FIBONACCI SEQUENCE [J].

HORADAM, AF .

AMERICAN MATHEMATICAL MONTHLY, 1961, 68 (05) :455-&

[7] COMPLEX FIBONACCI NUMBERS AND FIBONACCI QUATERNIONS [J].

HORADAM, AF .

AMERICAN MATHEMATICAL MONTHLY, 1963, 70 (03) :289-&

[8]

Lam TY, 2004, AM MATH SOC

[9] About some split central simple algebras [J].

Savin, Diana .

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2014, 22 (01) :263-272

[10]

Voight John., The arithmetic of quaternion algebras

← 1 →