Linear Conjugation Problem with a Triangular Matrix Coefficient
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DOI: 10.1007/s10958-021-05463-7
Abstract: We consider a classical linear conjugation problem for analytic vector-valued functions on a piecewise smooth curve with a triangular matrix coefficient in weighted H¨older spaces. In the twodimensional case, conditions for the existence of a… read more here.
Keywords: triangular matrix; conjugation problem; matrix coefficient; matrix ... See more keywords
Three-dimensional reconstruction of ceramic membrane with internal defects based on ultrasound imaging technique applying triangular matrix-synthetic aperture focusing
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DOI: 10.1016/j.ceramint.2020.06.109
Abstract: Abstract To realize a three-dimensional (3D) visual display and evaluate the internal defects of a ceramic hollow plate membrane, a method for creating a 3D reconstruction of the internal defects based on an ultrasound imaging… read more here.
Keywords: triangular matrix; internal defects; aperture focusing; membrane ... See more keywords
Cotorsion pairs and approximation classes over formal triangular matrix rings
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DOI: 10.1016/j.jpaa.2019.106271
Abstract: Abstract Let T = ( A 0 U B ) be a formal triangular matrix ring, where A and B are rings and U is a ( B , A ) -bimodule. Let C 1… read more here.
Keywords: triangular matrix; formal triangular; resp hereditary; cotorsion pairs ... See more keywords
Universal localization of certain matrix rings
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DOI: 10.1016/j.jpaa.2020.106633
Abstract: Abstract The Cohn localization is a process of adjoining universal inverse morphisms to the category of R-modules over a noncommutative ring R. Finding specific models for universal localizations is, in general, difficult. For certain classes… read more here.
Keywords: triangular matrix; matrix ring; universal localization; localization ... See more keywords
The image of polynomials on 2 × 2 upper triangular matrix algebras
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DOI: 10.1016/j.laa.2020.10.009
Abstract: Abstract The goal of the paper is to give a complete description of the image of polynomials with zero constant term on 2 × 2 upper triangular matrix algebras over an algebraically closed field. read more here.
Keywords: image polynomials; upper triangular; triangular matrix; matrix algebras ... See more keywords
Associated primes and primary right ideals of generalized triangular matrix rings
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DOI: 10.1080/00927872.2018.1508579
Abstract: Abstract Let be an (S, R)-bimodule of the rings R and S. We determine the associated primes of a formal triangular matrix ring Indeed, we show that We then obtain necessary and sufficient conditions for… read more here.
Keywords: triangular matrix; matrix; right ideals; associated primes ... See more keywords
Gorenstein projective modules and recollements over triangular matrix rings
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DOI: 10.1080/00927872.2020.1775240
Abstract: Abstract Let be a triangular matrix ring with R and S rings and an R–S-bimodule. We describe Gorenstein projective modules over T. In particular, we refine a result of Enochs, Cortés-Izurdiaga, and Torrecillas [Gorenstein conditions… read more here.
Keywords: triangular matrix; recollements triangular; projective modules; gorenstein projective ... See more keywords
Revisiting the Adjoint Matrix for FPGA Calculating the Triangular Matrix Inversion
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DOI: 10.1109/tcsii.2020.3034437
Abstract: Due to the robustness, the matrix inversion methods based on matrix factorization are often adopted in engineering while the triangular matrix inversion is one key part of those methods. This brief reviews the adjoint matrix… read more here.
Keywords: adjoint matrix; matrix inversion; matrix; calculating triangular ... See more keywords
Piecewise Hereditary Triangular Matrix Algebras
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DOI: 10.1142/s1005386721000134
Abstract: For any positive integer N, we clearly describe all finite-dimensional algebras A such that the upper triangular matrix algebras TN( A) are piecewise hereditary. Consequently, we describe all finit... read more here.
Keywords: matrix algebras; hereditary triangular; algebras piecewise; triangular matrix ... See more keywords
Functional identities on upper triangular matrix rings
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DOI: 10.1515/math-2020-0018
Abstract: Abstract Let R be a subset of a unital ring Q such that 0 ∈ R. Let us fix an element t ∈ Q. If R is a (t; d)-free subset of Q, then Tn(R)… read more here.
Keywords: triangular matrix; functional identities; identities upper; upper triangular ... See more keywords
On Characterization of Tripotent Matrices in Triangular Matrix Rings
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DOI: 10.3906/mat-2103-109
Abstract: Let R be a ring with identity 1 whose tripotents are only −1 , 0 , and 1 . It is characterized the structure of tripotents in T (R) which is the ring of triangular… read more here.
Keywords: triangular matrix; tripotent matrices; characterization tripotent; matrices triangular ... See more keywords