Results 51 to 60 of about 1,137 (186)
On maps sending rank-κ idempotents to idempotents
Summary: We characterize bijective linear maps on complex-valued \(n\times n\) matrices such that rank-\( \kappa\) idempotents are mapped to idempotents, where \(2 \leqslant \kappa < n - 1\).
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NeuDiff Agent: a governed AI workflow for single‐crystal neutron crystallography
NeuDiff Agent accelerates the TOPAZ single‐crystal neutron diffraction workflow at the Spallation Neutron Source from measured data to a structure suitable for publication through governed tool execution, auditable provenance and checkCIF assessment.Large‐scale facilities increasingly face analysis and reporting latency as a limiting step in scientific
Zhongcan Xiao +3 more
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The Moore–Penrose Inverse and Product Decomposition of Idempotent Operators on Hilbert C*-Modules
We study the Moore–Penrose inverse of idempotent operators on Hilbert C*-modules. First, we extend the computation of the Moore–Penrose inverse of an idempotent operator and its difference from the range projection to this setting.
Wei Luo
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Left Zeroid and Right Zeroid Elements of Γ-Semirings
In this paper we introduce the notion of a left zeroid and a right zeroid of Γ -semirings. We prove that, a left zeroid of a simple Γ-semiring M is regular if and only if M is a regular Γ -semiring.
Rao M. Murali Krishna, Kumar K.R.
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Ideals of Projections According to σ-Algebras and Unbounded Measurements
A theory of unbounded measures is constructed based on the quantum logics of orthogonal projections. As an analogue of the ring of sets, the projector ideal is proposed. Finite and maximal measures regarding the projector ideals are described.
Marjan Matvejchuk
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Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
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ABSTRACT Luminex bead‐based immunoassays are central to HLA antibody testing in histocompatibility laboratories, yet QC monitoring remains largely manual. Although ISO 15189, EFI and ASHI standards require statistical trend analysis, laboratories typically rely on spreadsheet tracking or periodic visual inspection; these approaches can detect gross run
Mian Chen +5 more
wiley +1 more source
Threads without idempotents [PDF]
If a thread S has no idempotents and if S2 = S, then S is iseomorphic with the real interval (0, 1) under ordinary multiplication [2, Corollary 5.6]. Although the result is not nearly as pleasing as the special case just quoted, we shall give here a description of any thread without idempotents.
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On the Auslander–Reiten theory for extended hearts of proper connective dg algebras
Abstract We prove that, for a proper connective dg algebra A$A$ with cohomology concentrated in degrees between 1−d$1-d$ and 0, the extended heart Dfd(A)(−d,0]⊆Dfd(A)$\mathcal {D}^{\mathrm{fd}}(A)^{(-d,0]}\subseteq \mathcal {D}^{\mathrm{fd}}(A)$ is an extriangulated category with almost‐split conflations.
Nao Mochizuki, Marvin Plogmann
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THE TRIPLE IDEMPOTENT GRAPH OF THE RING Z_n
Let be a commutative ring, and denote the set of all idempotent elements of . The triple idempotent graph of , denoted by , is defined as an undirected simple graph whose vertex set .
Vika Yugi Kurniawan +2 more
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