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Advances in Mathematics, ISSN 0001-8708, 06/2019, Volume 349, pp. 1036 - 1116
We introduce and study the algebras of generalized quaternion type, being natural generalizations of algebras which occurred in the study of blocks of group... 
Periodic algebra | Symmetric algebra | Tame algebra | Cohen-Macaulay module | Generalized quaternion type | Weighted surface algebra | QUIVERS | POTENTIALS | MATHEMATICS | FINITE | BLOCKS | PERIODIC RESOLUTIONS | CATEGORY | SELF-INJECTIVE ALGEBRAS
Journal Article
Automatica, ISSN 0005-1098, 03/2019, Volume 101, pp. 207 - 213
In this paper, we consider the solvability of a system of constrained two-sided coupled generalized Sylvester quaternion matrix equations. Some necessary and... 
Sylvester matrix equations | General solution | Quaternion | Solvability | SINGULAR-VALUE DECOMPOSITION | SYSTEMS | GENERALIZED SYLVESTER | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Journal of Algebra and its Applications, ISSN 0219-4988, 08/2018, Volume 17, Issue 8
For a symmetric algebra A over a field K of characteristic p > 0 Kulshammer constructed a descending sequence of ideals of the center of A. If K is perfect,... 
socle deformation | Derived equivalences | algebras of quaternion type | tame blocks | Külshammer ideals | stable equivalences of Morita type | MATHEMATICS, APPLIED | SYMMETRIC ALGEBRAS | CATEGORIES | EQUIVALENCE CLASSIFICATION | MATHEMATICS | DOMESTIC TYPE | GENERALIZED REYNOLDS IDEALS | CARTAN INVARIANTS | Kulshammer ideals
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 12/2018, Volume 41, Issue 18, pp. 9477 - 9484
This article aims to discuss a class of quaternion Fourier integral operators on certain set of generalized functions, leading to a method of discussing... 
Boehmian space | generalized quaterion space | quaternion fourier | quaternion | MATHEMATICS, APPLIED | TRANSFORMS | Operators (mathematics) | Convolution | Quaternions | Integrals
Journal Article
Journal Article
Circuits, Systems, and Signal Processing, ISSN 0278-081X, 12/2018, Volume 37, Issue 12, pp. 5486 - 5506
Journal Article
Optics and Laser Technology, ISSN 0030-3992, 10/2018, Volume 106, pp. 234 - 250
•Two quaternion generalized orthogonal rotation invariant moments are proposed.•The effect of parameter α is analysed for image reconstruction and... 
Moment invariants | Object recognition | Image reconstruction | Generalized pseudo-Jacobi-Fourier moments | Generalized Chebyshev-Fourier moments | PHYSICS, APPLIED | MELLIN MOMENTS | IMAGE-ANALYSIS | INVARIANT | TRANSFORM | OPTICS | ZERNIKE MOMENTS | Computer science | Equipment and supplies | Algebra | Image processing | Analysis
Journal Article
Advances in Applied Clifford Algebras, ISSN 0188-7009, 3/2018, Volume 28, Issue 1, pp. 1 - 16
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 07/2018, Volume 41, Issue 11, pp. 4021 - 4032
Journal Article
Advances in Applied Clifford Algebras, ISSN 0188-7009, 9/2013, Volume 23, Issue 3, pp. 673 - 688
In this paper, we investigate some properties of generalized Fibonacci quaternions and Fibonacci-Narayana quaternions in a generalized quaternion algebra. 
Mathematical Methods in Physics | Fibonacci quaternions | Theoretical, Mathematical and Computational Physics | Fibonacci-Narayana quaternions | Applications of Mathematics | Physics, general | Physics | generalized Fibonacci quaternions | MATHEMATICS, APPLIED | NUMBERS | PHYSICS, MATHEMATICAL | Computer science | Analysis
Journal Article
Mathematics, ISSN 2227-7390, 01/2019, Volume 7, Issue 1, p. 80
In this paper, we introduce the bicomplex generalized tribonacci quaternions. Furthermore, Binet's formula, generating functions, and the summation formula for... 
Bicomplex number | Generalized tribonacci sequence | Bicomplex generalized tribonacci quaternion | MATHEMATICS | bicomplex number | generalized tribonacci sequence | bicomplex generalized tribonacci quaternion
Journal Article
Advances in Applied Clifford Algebras, ISSN 0188-7009, 12/2017, Volume 27, Issue 4, pp. 3183 - 3196
Journal Article
Journal of Theoretical Probability, ISSN 0894-9840, 9/2016, Volume 29, Issue 3, pp. 1100 - 1120
It is well known that the Gaussian symplectic ensemble is defined on the space of $$n\times n$$ n × n quaternion self-dual Hermitian matrices with Gaussian... 
Primary 15B52 | Semicircular law | 62E20 | GSE | Probability Theory and Stochastic Processes | Quaternion matrices | Mathematics | Secondary 60F17 | Statistics, general | 60F15 | STATISTICS & PROBABILITY | GENERALIZED WIGNER MATRICES | BULK UNIVERSALITY
Journal Article
Iranian Journal of Science and Technology, Transactions A: Science, ISSN 1028-6276, 6/2019, Volume 43, Issue 3, pp. 1071 - 1080
In this paper, we derive some necessary and sufficient conditions for two, three and four quaternion matrices to be block independent in the least squares... 
System of quaternion matrix equations | Materials Science, general | Earth Sciences, general | 15A03 | Generalized inverse | 15A09 | Engineering | Life Sciences, general | 15A24 | Chemistry/Food Science, general | 15A33 | Engineering, general | Physics, general | Block matrix | MULTIDISCIPLINARY SCIENCES
Journal Article
Advances in Difference Equations, ISSN 1687-1839, 12/2015, Volume 2015, Issue 1, pp. 1 - 8
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 12/2017, Volume 14, Issue 6, pp. 1 - 12
Let $$V_{n}$$ V n denote the third order linear recursive sequence defined by the initial values $$V_{0}$$ V 0 , $$V_{1}$$ V 1 and $$V_{2}$$ V 2 and the... 
11B39 | third order Jacobsthal sequence | 11B83 | 11R52 | Quaternion | generalized Tribonacci sequence | Mathematics, general | Mathematics | Narayana sequence | 11B37 | FIBONACCI QUATERNIONS | MATHEMATICS | MATHEMATICS, APPLIED | IDENTITIES
Journal Article
Algebra Colloquium, ISSN 1005-3867, 03/2017, Volume 24, Issue 1, pp. 169 - 180
Journal Article
数学年刊:B辑英文版, ISSN 0252-9599, 2016, Volume 37, Issue 4, pp. 571 - 584
Abstract Denote by Qm the generalized quaternion group of order 4m. Let R(Qm) be its complex representation ring, and △(Qm) its augmentation ideal. In this... 
复表示 | 正整数 | 同构类 | 量子力学 | 增广理想 | 广义四元数群 | Augmentation quotients | 16S34 | Generalized quaternion groups | Representation ring | Mathematics, general | Mathematics | Applications of Mathematics | 20C05 | MATHEMATICS
Journal Article
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