Linear Conjugation Problem with a Triangular Matrix Coefficient
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Sciences"
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
Sign Up to like & getrecommendations! Published in 2020 at "Ceramics International"
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
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Pure and Applied Algebra"
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
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Pure and Applied Algebra"
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
Sign Up to like & getrecommendations! Published in 2021 at "Linear Algebra and its Applications"
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
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Algebra"
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
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Algebra"
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
Integer-valued polynomials on subsets of upper triangular matrix rings
Sign Up to like & getrecommendations! Published in 2024 at "Communications in Algebra"
DOI: 10.1080/00927872.2024.2316895
Abstract: Abstract S. Frisch, showed that the integer-valued polynomials on upper triangular matrix ring IntTn(K)(Tn(D)):={f∈Tn(K)[x]|f(Tn(D))⊆Tn(D)} is a ring, where D is an integral domain with field of fractions K. Let R1⊆R2 be commutative rings with identity.… read more here.
Keywords: upper triangular; valued polynomials; matrix rings; integer valued ... See more keywords
Differential graded triangular matrix categories
Sign Up to like & getrecommendations! Published in 2024 at "Communications in Algebra"
DOI: 10.1080/00927872.2025.2499069
Abstract: Abstract This paper focuses on defining an analog of differential-graded triangular matrix algebra in the context of differential-graded categories. Given two dg-categories U and T and M∈DgMod(U⊗Top) we construct the differential graded triangular matrix category… read more here.
Keywords: differential graded; algebra; graded triangular; matrix categories ... See more keywords
Revisiting the Adjoint Matrix for FPGA Calculating the Triangular Matrix Inversion
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Circuits and Systems II: Express Briefs"
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
Sign Up to like & getrecommendations! Published in 2021 at "Algebra Colloquium"
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