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 93 Downloads 342 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 8,320 Downloads 15,039 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 357 Downloads 1,876 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 1,445 Downloads 2,416 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 20 Downloads 117 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 131 Downloads 677 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 650 Downloads 1,404 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 5,360 Downloads 12,174 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 6,117 Downloads 8,934 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 762 Downloads 1,547 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 8,023 Downloads 16,233 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 4,964 Downloads 8,696 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 5,903 Downloads 8,613 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 3,700 Downloads 5,994 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 168 Downloads 688 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 4,687 Downloads 9,476 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 4,457 Downloads 8,789 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 406 Downloads 936 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 4,587 Downloads 6,582 Views Citations
Notes on the Variety of Ternary Algebras (Articles)

Aldo V. Figallo, Claudia M. Gomes, Lucía S. Sarmiento, Mario E. Videla

Advances in Pure Mathematics Vol.4 No.9，September 4, 2014

DOI: 10.4236/apm.2014.49057 2,916 Downloads 3,885 Views Citations

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