Results 21 to 30 of about 22,228 (202)
k-Idempotency of linear combinations of an idempotent matrix and a tripotent matrix that commute
Indian Journal of Pure and Applied Mathematics, 2011 The authors establish a complete solution to the problem of characterizing all situations in which a linear combination \(C=c_1A+c_2B\) of an idempotent matrix \(A\) and a tripotent matrix \(B\) is \(k\)-idempotent. As a special case of this, a set of necessary and sufficient conditions for a linear combination \(C=c_1A+c_2B\) to be \(k\)-idempotent ...
Krishnamoorthy, S., Rajagopalan, T.
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Approximate Comparison of Functions Computed by Distance Automata [PDF]
, 2015 Distance automata are automata weighted over the semiring (N∪{∞},min,+) (the tropical semiring). Such automata compute functions from words to N∪{∞}. It is known from Krob that the problems of deciding ‘ f≤g’ or ‘ f=g’ for f and g computed by distance ...
Colcombet, T., Daviaud, L.
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Linear Maps on Upper Triangular Matrices Spaces Preserving Idempotent Tensor Products
Abstract and Applied Analysis, 2014 Suppose m, n≥2 are positive integers. Let 𝒯n be the space of all n×n complex upper triangular matrices, and let ϕ be an injective linear map on 𝒯m⊗𝒯n. Then ϕ(A⊗B) is an idempotent matrix in 𝒯m⊗𝒯n whenever A⊗B is an idempotent matrix in 𝒯m⊗𝒯n if and only ...
Li Yang, Wei Zhang, Jinli Xu
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Idempotent elements determined matrix algebras
Linear Algebra and its Applications, 2011 The algebra \(M_n(R)\) of the \(n\times n\) matrices over \(R\) is considered, where \(R\) is a unital commutative ring with invertible 2. The main result shows that the algebra \(M_n(R)\) is idempotent elements determined, i.e. for any \(R\)-module \(X\) and for any symmetric bilinear map \(\{\cdot,\cdot\}:M_n(R)\times M_n(R)\rightarrow X\), the ...
Wang, Dengyin, Li, Xiaowei, Ge, Hui
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Pure Maps between Euclidean Jordan Algebras [PDF]
, 2019 We propose a definition of purity for positive linear maps between Euclidean Jordan Algebras (EJA) that generalizes the notion of purity for quantum systems.
van de Wetering, John +2 more
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Singular matrices that are products of two idempotents or products of two nilpotents
Special Matrices, 2021 Over commutative domains we characterize the singular 2 × 2 matrices which are products of two idempotents or products of two nilpotents. The relevant casees are the matrices with zero second row and the singular matrices with only nonzero entries.
Călugăreanu Grigore
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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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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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IDEMPOTENTS IN CERTAIN MATRIX RINGS OVER POLYNOMIAL RINGS
International Electronic Journal of Algebra, 2020 Let \(R\) be either a direct sum of two different finite prime fields or a finite ring \(\mathbb{Z}/p^2\mathbb{Z}\) where \(p\) is a prime. The paper describes all idempotents of the ring \(M_2(R[x])\) of \(2\times 2\) matrices over the polynomial ring \(R[x]\). Reviewer's remark. It seems that the description is not complete.
BALMACEDA, Jose Maria P. +1 more
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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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