Results 11 to 20 of about 55 (55)

A Study on Commutative Elliptic Octonion Matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this study, firstly notions of similarity and consimilarity are given for commutative elliptic octonion matrices. Then the Kalman-Yakubovich s-conjugate equation is solved for the first conjugate of commutative elliptic octonions. Also, the notions of
Sürekçi Arzu Cihan, Güngör Mehmet Ali   +1 more
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Monomial codes seen as invariant subspaces

Open Mathematics, 2017
It is well known that cyclic codes are very useful because of their applications, since they are not computationally expensive and encoding can be easily implemented. The relationship between cyclic codes and invariant subspaces is also well known.
García-Planas María Isabel, Magret Maria Dolors, Um Laurence Emilie   +2 more
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Similarity relations and exponential of dual-generalized complex matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this study, taking into account the fundamental properties of dual-generalized complex (DGC) matrices, various types of similarity relations are introduced considering coneigenvalues/coneigenvectors via di erent conjugates.
Gürses Nurten, Şentürk Gülsüm Yeliz
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Negative clean rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
A ring is called negative clean if the negative (i.e., the additive inverse) of each clean element is also clean. Clean rings are negative clean.
Călugăreanu Grigore, Pop Horia F.
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On nilpotent matrices that are unit-regular [PDF]

In this paper, we characterize regular nilpotent 2 × 2 matrices over Bézout domains and prove that they are unit-regular. We also demonstrate that nilpotent n × n matrices over division rings are unit-regular.
CĂLUGĂREANU, Grigore
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Fejér–Riesz factorization in the QRC-subalgebra and circularity of the quaternionic numerical range [PDF]

Journal Article, Faculty of Natural and Agricultural Sciences, Pure and Applied Analytics -- Potchefstroom CampusWe provide a characterization when the quaternionic numerical range of a matrix is a closed ball with center 0.
Van Straaten, Madelein, Vander Merwe, Alma, Woerdeman, Hugo J   +2 more
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The c-numerical range of a quaternion skew-Hermitian matrix is convex [PDF]

Journal Article, Faculty of Natural and Agricultural Sciences, Pure and Applied Analytics-- Potchefstroom CampusWe show that the c-numerical range of a non-scalar skew-Hermitian quaternion matrix is convex.
Thiersen, Madelein, Vander Merwe, Alma, Woerdeman, Hugo J   +2 more
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Unit group of the ring of negacirculant matrices over finite commutative chain rings

Special Matrices
Circulant 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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Amitsur's theorem, semicentral idempotents, and additively idempotent semirings

Open Mathematics
The 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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Consimilarity and quaternion matrix equations AX −^X B = C, X − A^X B = C

Special Matrices, 2014
L. Huang [Consimilarity of quaternion matrices and complex matrices, Linear Algebra Appl. 331(2001) 21–30] gave a canonical form of a quaternion matrix with respect to consimilarity transformationsA ↦ ˜S−1AS in which S is a nonsingular quaternion matrix ...
Klimchuk Tatiana, Sergeichuk Vladimir V.
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