Results 21 to 30 of about 8,108,530 (300)
Properties of the combinations of commutative idempotents [PDF]
Linear Algebra and its Applications, 2012 AbstractThis paper deals with idempotent operators (i.e., P2=P) and n-potent operators (i.e., Pn=P). We characterize the invertibility, the group invertibility and idempotency of the linear combinations of idempotent operators (or n-potent operators) under certain commutativity property imposed on them.
Chunyuan Deng +2 more
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The Mazur–Ulam property for commutative von Neumann algebras [PDF]
Linear and multilinear algebra, 2018 Let be a σ-finite measure space. Given a Banach space X, let the symbol stand for the unit sphere of X. We prove that the space of all complex-valued measurable essentially bounded functions equipped with the essential supremum norm satisfies the Mazur ...
María Cueto-Avellaneda, A. M. Peralta
semanticscholar +1 more source
Acyclic Complexes and Graded Algebras
Mathematics, 2023 We already know that the noncommutative N-graded Noetherian algebras resemble commutative local Noetherian rings in many respects. We also know that commutative rings have the important property that every minimal acyclic complex of finitely generated ...
Chaoyuan Zhou
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The Cohen-Macaulay property in derived commutative algebra [PDF]
, 2019 By extending some basic results of Grothendieck and Foxby about local cohomology to commutative DG-rings, we prove new amplitude inequalities about finite DG-modules of finite injective dimension over commutative local DG-rings, complementing results of ...
Liran Shaul
semanticscholar +1 more source
The Commutation Matrix: Some Properties and Applications [PDF]
The Annals of Statistics, 1979 The commutation matrix $K$ is defined as a square matrix containing only zeroes and ones. Its main properties are that it transforms vecA into vecA', and that it reverses the order of a Kronecker product. An analytic expression for $K$ is given and many further properties are derived.
Magnus, Jan R., Neudecker, H.
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The universal property of commutative algebras' internal crossed modules
Journal of New Results in Science, 2023 In this work, we identify subobjects and ideals in the category of internal crossed modules, which provide a deeper understanding of the structure of these objects.
Elis Soylu Yılmaz
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On idempotent stable range 1 matrices
Special Matrices, 2022 We characterize the idempotent stable range 1, 2 × 2 matrices over commutative rings and in particular the integral matrices with this property. Several special cases and examples complete the subject.
Călugăreanu Grigore, Pop Horia F.
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Efficient Computation of Intervention in Causal Bayesian Networks [PDF]
Jisuanji kexue, 2022 In causal Bayesian networks (CBNs),it is a fundamental problem to compute the causal effect of sum product.From the perspective of a directed acyclic graph,we show every CBN has a corresponding Bayesian network.Intervention is a fundamental operation in ...
LI Chao, QIN Biao
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Computation of eccentric topological indices of zero-divisor graphs based on their edges
AIMS Mathematics, 2022 The topological index of a graph gives its topological property that remains invariant up to graph automorphism. The topological indices which are based on the eccentricity of a chemical graph are molecular descriptors that remain constant in the whole ...
Ali N. A. Koam +3 more
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Benefits of Open Quantum Systems for Quantum Machine Learning
Advanced Quantum Technologies, EarlyView., 2023 Quantum machine learning (QML), poised to transform data processing, faces challenges from environmental noise and dissipation. While traditional efforts seek to combat these hindrances, this perspective proposes harnessing them for potential advantages. Surprisingly, under certain conditions, noise and dissipation can benefit QML.
María Laura Olivera‐Atencio +2 more
wiley +1 more source