Results 111 to 120 of about 1,059,681 (321)
Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper, the notion of a QI-algebra is introduced which is a generalization of a BI-algebra and there are studied its properties. We considered ideals, congruence kernels in a QI-algebra and characterized congruence kernels whenever a QI-algebra is
Bandaru Ravi Kumar
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On the Kernel of a Polynomial of Scalar Derivations
Mathematics, 2020 In this paper, by using a vector variable, the procedure of characteristic systems allows us to describe the kernel of a polynomial of scalar derivations by solving Cauchy Problems for the corresponding system of ODEs. Moreover, a gradient representation
Savin Treanţă
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad +1 more
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Space‐Time Smoothness and Parsimony in Covariance Functions
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper challenges the trade off between computational efficiency and statistical accuracy within the framework of Gaussian space‐time processes. Under such a framework, the space‐time dependence is completely specified through the space‐time covariance function.
Tarik Faouzi +2 more
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Kernel maps and operator decomposition
, 2019 We introduce the notions of kernel map and kernel set of a bounded linear operator on a Hilbert space relative to a subspace lattice. The characterization of the kernel maps and kernel sets of finite rank operators leads to showing that every norm closed
Matos, Gabriel, Oliveira, Lina
core
Kernel Inclusions of Algebraic Automorphisms
Communications in Algebra, 2011 Let R be a prime ring with left Martindale quotient ring R ℱ and symmetric Martindale quotient ring Q. Define, for an automorphism σ of R, R (σ) = {x ∈ R∣x σ = x}. Let σ and τ be automorphisms of R, and assume that σ is left R ℱ -algebraic. We show that R (σ) ⊆ R (τ) if and only if x τ = vx σ i v −1 for all x ∈ R, where i is an integer and where v is ...
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Application of Variable Step‐Size Hybrid Methods for Solving Third‐Order Lane‐Emden Equations
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This manuscript introduces a pair of variable step‐size hybrid methods (PVSHM) to efficiently solve third‐order initial value problems of Lane‐Emden‐type equations (LETE). These equations are extensively used across various disciplines, including chemical engineering, fluid mechanics, physics, and astrophysics, to model a wide range of real ...
Mufutau Ajani Rufai +3 more
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Cohen-Macaulayness of Rees Algebras of Diagonal Ideals
, 2010 Given two determinantal rings over a field k. We consider the Rees algebra of the diagonal ideal, the kernel of the multiplication map. The special fiber ring of the diagonal ideal is the homogeneous coordinate ring of the join variety.
Lin, Kuei-Nuan
core
Homogeneous algebras via heat kernel estimates
Transactions of the American Mathematical Society, 2022 We study homogeneous Besov and Triebel–Lizorkin spaces defined on doubling metric measure spaces in terms of a self-adjoint operator whose heat kernel satisfies Gaussian estimates together with its derivatives. When the measure space is a smooth manifold and such operator is a sum of squares of smooth vector fields, we prove that their intersection ...
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