Quaternion Algebra - Articles - Scientific Research Publishing

Split-Tetraquaternion Algebra and Applications (Articles)

Grégoire Lutanda Panga

Journal of Applied Mathematics and Physics Vol.12 No.7, July 31, 2024

DOI: 10.4236/jamp.2024.127159 193 Downloads 727 Views Citations
Computing Octonions Roots by Newton’s Method (Articles)

W. Eltayeb Ahmed, Nahla Mohamed Ahmed

Journal of Applied Mathematics and Physics Vol.13 No.6, June 30, 2025

DOI: 10.4236/jamp.2025.136117 119 Downloads 499 Views Citations
Multidimensional Laplace Transforms over Quaternions, Octonions and Cayley-Dickson Algebras, Their Applications to PDE (Articles)

Sergey Victor Ludkovsky

Advances in Pure Mathematics Vol.2 No.2, March 22, 2012

DOI: 10.4236/apm.2012.22013 8,622 Downloads 15,745 Views Citations
Clifford Algebra and Hypercomplex Number as well as Their Applications in Physics (Articles)

Yingqiu Gu

Journal of Applied Mathematics and Physics Vol.10 No.4, April 29, 2022

DOI: 10.4236/jamp.2022.104097 488 Downloads 2,783 Views Citations
Investigation of the Quaternion Dynamical System (Articles)

Yasmin Omar

Journal of Applied Mathematics and Physics Vol.5 No.1, January 25, 2017

DOI: 10.4236/jamp.2017.51014 1,587 Downloads 2,954 Views Citations
The Unification of Gravity with Electromagnetism in the Classical Newtonian Region, with an Explanation of the Crookes Radiometer, and a Model for “Dark Matter” (Articles)

Stephen Joseph Kennedy

Journal of High Energy Physics, Gravitation and Cosmology Vol.11 No.2, April 28, 2025

DOI: 10.4236/jhepgc.2025.112038 96 Downloads 815 Views Citations
Mathematical Aspects of SU (2) and SO(3,R) Derived from Two-Mode Realization in Coordinate-Invariant Form (Articles)

Alfred Wünsche

Journal of Modern Physics Vol.14 No.3, February 28, 2023

DOI: 10.4236/jmp.2023.143022 207 Downloads 1,248 Views Citations
A Unified Algebraic Technique for Eigenvalues and Eigenvectors in Quaternionic and Split Quaternionic Mechanics (Articles)

Zhenwei Guo, Gang Wang, Dong Zhang, Tongsong Jiang

Journal of Applied Mathematics and Physics Vol.7 No.9, August 29, 2019

DOI: 10.4236/jamp.2019.79133 768 Downloads 1,885 Views Citations
On Bicomplex Representation Methods and Applications of Matrices over Quaternionic Division Algebra (Articles)

Junliang Wu, Pingping Zhang

Advances in Pure Mathematics Vol.1 No.2, March 30, 2011

DOI: 10.4236/apm.2011.12004 5,632 Downloads 12,856 Views Citations
Chiral Dirac Equation Derived From Quaternionic Maxwell’s Systems (Articles)

Hector Torres-Silva

Journal of Electromagnetic Analysis and Applications Vol.5 No.3, March 28, 2013

DOI: 10.4236/jemaa.2013.53017 6,368 Downloads 9,627 Views Citations
Algebraic Techniques for Linear Equations over Quaternions and Split Quaternions: A Unified Approach in Quaternionic and Split Quaternionic Mechanics (Articles)

Gang Wang, Zhenwei Guo, Dong Zhang, Tongsong Jiang

Journal of Applied Mathematics and Physics Vol.7 No.8, August 16, 2019

DOI: 10.4236/jamp.2019.78118 895 Downloads 2,032 Views Citations
A New Branch of the Pure Algebra: BCL-Algebras (Articles)

Yonghong Liu

Advances in Pure Mathematics Vol.1 No.5, September 21, 2011

DOI: 10.4236/apm.2011.15054 8,311 Downloads 16,974 Views Citations
Enveloping Lie Algebras of Low Dimensional Leibniz Algebras (Articles)

Massoud Amini, Isamiddin Rakhimov, Seyed Jalal Langari

Applied Mathematics Vol.2 No.8, August 18, 2011

DOI: 10.4236/am.2011.28142 5,183 Downloads 9,207 Views Citations
Spectrum of Signals on the Quaternion Fourier Transform Domain (Articles)

Guicheng Yang, Yingxiong Fu

Journal of Applied Mathematics and Physics Vol.1 No.4, November 6, 2013

DOI: 10.4236/jamp.2013.14007 6,171 Downloads 9,189 Views Citations
A Theoretical Foundation for the Widely Linear Processing of Quaternion-Valued Data (Articles)

Tohru Nitta

Applied Mathematics Vol.4 No.12, November 20, 2013

DOI: 10.4236/am.2013.412219 3,867 Downloads 6,478 Views Citations
Elements of Electromagnetic Matter (Articles)

Viktor Ariel

Journal of Modern Physics Vol.15 No.3, February 29, 2024

DOI: 10.4236/jmp.2024.153013 311 Downloads 1,235 Views Citations
The Localization of Commutative Bounded BCK-Algebras (Articles)

Dana Piciu, Dan Dorin Tascau

Advances in Pure Mathematics Vol.1 No.6, November 24, 2011

DOI: 10.4236/apm.2011.16066 4,954 Downloads 10,095 Views Citations
On BCL⁺-Algebras (Articles)

Yonghong Liu

Advances in Pure Mathematics Vol.2 No.1, January 9, 2012

DOI: 10.4236/apm.2012.21012 4,720 Downloads 9,297 Views Citations
Integral Basis of Affine Vertex Algebra V_k (sl₂) and Virasoro Vertex Algebra V_vir (2k,0) (Articles)

Ashuai Wang

Journal of Applied Mathematics and Physics Vol.8 No.4, April 3, 2020

DOI: 10.4236/jamp.2020.84050 507 Downloads 1,320 Views Citations
Algebras of Hamieh and Abbas Used in the Dirac Equation (Articles)

Gregory Peter Wene

Journal of Modern Physics Vol.3 No.9, September 24, 2012

DOI: 10.4236/jmp.2012.39120 4,769 Downloads 7,100 Views Citations

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