Results 51 to 60 of about 24,752 (265)
Cohen-Macaulayness of Tensor Products
Rocky Mountain Journal of Mathematics, 2004 Let $(R,\fm)$ be a commutative Noetherian local ring. Suppose that $M$ and $N$ are finitely generated modules over $R$ such that $M$ has finite projective dimension and such that $\Tor^R_i(M,N)=0$ for all $i>0$. The main result of this note gives a condition on $M$ which is necessary and sufficient for the tensor product of $M$ and $N$ to be a Cohen-
Khatami, Leila, Yassemi, Siamak
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Dimethyl Fumarate, But Not Rituximab, Reduces Serum GFAP Levels and PIRMA in Relapsing–Remitting MS
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Serum neurofilament light chain (sNfL) and glial fibrillary acidic protein (sGFAP) levels are believed to reflect mainly acute and chronic disease processes in multiple sclerosis (MS), respectively. In this study, we investigated whether dimethyl fumarate (DMF) and rituximab (RTX) differentially affect these biomarkers.
F. Shawket +14 more
wiley +1 more source
Математичні СтудіїThe article describes the tensor products of approximation spaces associated with regular elliptic operators on tensor products of Lebesgue spaces $L_2(\partial\Omega)$, where $\partial \Omega$ considers as smooth manifold that describes in the usual ...
M. I. Dmytryshyn
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Expression of a Tensor Commutation Matrix in Terms of the Generalized Gell-Mann Matrices
International Journal of Mathematics and Mathematical Sciences, 2007 We have expressed the tensor commutation matrix n⊗n as linear combination of the tensor products of the generalized Gell-Mann matrices. The tensor commutation matrices 3⊗2 and 2⊗3 have been expressed in terms of the classical Gell-Mann matrices and the ...
Rakotonirina Christian
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Insulating sets and tensor products in Procesi category
Lietuvos Matematikos Rinkinys, 2000 There is not abstract.
Algirdas Kaučikas
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Tensor methods in data analysis of chromatography/mass spectroscopy-based plant metabolomics
Plant Methods, 2023 Plant metabolomics is an important research area in plant science. Chemometrics is a useful tool for plant metabolomic data analysis and processing. Among them, high-order chemometrics represented by tensor modeling provides a new and promising technical
Lili Guo +4 more
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⁎-freeness in finite tensor products
Advances in Applied Mathematics, 2017 In this paper, we consider the following question and variants thereof: given $\mathbf D:=\big(a_{1;i}\otimes\cdots\otimes a_{K;i}:i\in I\big)$, a collection of elementary tensor non-commutative random variables in the tensor product of probability spaces $(\mathcal A_1\otimes\cdots\otimes\mathcal A_K,ϕ_1\otimes\cdots\otimesϕ_K)$, when is $\mathbf D$ $*
Benoit Collins +1 more
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Arthritis Care &Research, EarlyView.Objective The objective of this article is to identify perceptions of patients with systemic lupus erythematosus (SLE) regarding artificial intelligence (AI)–based online symptom assessment tools, and the potential of these tools to address diagnostic barriers.
Olivia A. Stein +7 more
wiley +1 more source
On the Tensor Product of Composition Algebras
Journal of Algebra, 2001 The authors investigate the tensor product \(C_1\otimes_F C_2\) of two composition algebras \(C_1\) and \(C_2\) over a field \(F\) of characteristic \(\neq 2\). First they consider the Albert forms of these algebras and obtain a necessary and sufficient condition for the similarity of the Albert forms of two algebras each of which is a tensor product ...
Morandi, P.J. +2 more
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