Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion ...
Kosal Hidayet Huda, Tosun Murat
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Determinants of tridiagonal matrices over some commutative finite chain rings
Special MatricesDiagonal matrices and their generalization in terms of tridiagonal matrices have been of interest due to their nice algebraic properties and wide applications.
Jitman Somphong, Sricharoen Yosita
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper we study the concept of sets of elements, related to results of an associative binary operation. We discuss this issue in the context of matrices and lattices.
Křehlík Štěpán, Novák Michal
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Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
Open MathematicsThe article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
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Idempotents which are products of two nilpotents
Special MatricesOver any GCD (greatest common divisor) commutative domain we show that the nontrivial 2×22\times 2 idempotent matrices are products of two nilpotent matrices. In order to find explicitly such decompositions, two procedures are described.
Călugăreanu Grigore, Pop Horia F.
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Principal angles and approximation for quaternionic projections
, 2013 We extend Jordan's notion of principal angles to work for two subspaces of quaternionic space, and so have a method to analyze two orthogonal projections in M_n(A) for A the real, complex or quaternionic field (or skew field).
Loring, Terry A.
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Unit group of the ring of negacirculant matrices over finite commutative chain rings
Special MatricesCirculant matrices form an important class of matrices that have been continuously studied due to their nice algebraic structures and wide applications. In this study, we focus specifically on negacirculant matrices, which are known as extensions of the ...
Naksing Prarinya, Jitman Somphong
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Influence of Medications Containing Acid Salts on Serum Bicarbonate in CKD. [PDF]
Kidney360, 2020 Gardner J, Tuttle K, Raphael KL.
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Some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices. [PDF]
J Inequal Appl, 2018 Hong Y, Lim D, Qi F.
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Single Sustained Inflation followed by Ventilation Leads to Rapid Cardiorespiratory Recovery but Causes Cerebral Vascular Leakage in Asphyxiated Near-Term Lambs. [PDF]
PLoS One, 2016 Sobotka KS +10 more
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