Results 21 to 30 of about 564 (182)
Idempotents in matrix group rings
Journal of Pure and Applied Algebra, 1994 Let \(G\) be a group and let \(KG\) be the group algebra of \(G\) over a field \(K\) of characteristic zero. Suppose that \(G\) is a group of finite cohomological dimension \(cd_ K G = n \geq 1\) over \(K\) and \(G\) contains a free abelian subgroup of rank \(n - 1\) in its centre. Let \(E\) be an idempotent matrix with entries in \(KG\).
Chadha, Gurmeet K., Passi, I.B.S.
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Abstract and Applied Analysis, 2018 This study developed a new method of hypothesis testing of model conformity between truncated spline nonparametric regression influenced by spatial heterogeneity and truncated spline nonparametric regression.
Sifriyani +3 more
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Special semi-reducible pseudo-Riemannian spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 The paper contains necessary conditions allowing to reduce matrix tensors of pseudo-Riemannian spaces to special forms called semi-reducible, under assumption that the tensor defining tensor characteristic of semireducibility spaces, is idempotent.
Юлія Степанівна Федченко +1 more
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The moore idempotents of a matrix
Linear Algebra and its Applications, 1994 Let \({\mathbf R}\) be a commutative ring with 1 and an involution \(^ -\). Let \({\mathbf M}\) be the category of finite matrices over \({\mathbf R}\) with the involution \((a_{i,j}) \to (a_{i,j})^* = (\overline a_{j,i})\). If \(A \in {\mathbf M}\), then there exists a unique list of pairwise orthogonal symmetric idempotents \(e_ i\), \(i=0,\dots,s\),
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The Equivalent Standard Forms of a Class of Tropical Matrices and Centralizer Groups
MathematicsIn this paper, the equivalent standard forms of tropical idempotent strongly definite matrices are introduced. In particular, the observation of the equivalent standard forms of tropical idempotent normal matrices is given.
Yanliang Cheng
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Idempotent McCoy Rings and Their Properties
Journal of MathematicsThis paper introduces idempotent McCoy rings, extending McCoy rings by incorporating idempotent elements, and explores their key properties. We provide examples and a counterexample showing that not every idempotent McCoy ring is McCoy.
Asma Ali +2 more
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On Decompositions of Matrices over Distributive Lattices
Journal of Applied Mathematics, 2014 Let L be a distributive lattice and Mn,q (L)(Mn(L), resp.) the semigroup (semiring, resp.) of n × q (n × n, resp.) matrices over L. In this paper, we show that if there is a subdirect embedding from distributive lattice L to the direct product ∏i=1mLi ...
Yizhi Chen, Xianzhong Zhao
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Solution Set of the Yang-Baxter-like Matrix Equation for an Idempotent Matrix
Symmetry, 2022 Given a complex idempotent matrix A, we derive simple, sufficient and necessary conditions for a matrix X being a nontrivial solution of the Yang-Baxter-like matrix equation AXA = XAX, discriminating commuting solutions from non-commuting ones. On this basis, we construct all the commuting solutions of the nonlinear matrix equation.
Xiaoling Xu, Linzhang Lu, Qilong Liu
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Journal of Time Series Analysis, EarlyView.ABSTRACT The paper deals with the construction of a synthetic indicator of economic growth, obtained by projecting a quarterly measure of aggregate economic activity, namely gross domestic product (GDP), into the space spanned by a finite number of smooth principal components, representative of the medium‐to‐long‐run component of economic growth of a ...
Alessandro Giovannelli +2 more
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The Scientific World Journal, 2013 Let be an arbitrary field and a square matrix over . Then is sum of two square nilpotent matrices over if and only if, for every algebraic extension of and arbitrary nonzero , there exist idempotent matrices and over such that .
Xiaofei Song +2 more
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