Results 141 to 150 of about 1,144,675 (186)

Association Between Anesthesia Exposure and Neurocognitive and Neuroimaging Outcomes in Long-term Survivors of Childhood Acute Lymphoblastic Leukemia.

JAMA Oncol, 2019
Banerjee P, Rossi MG, Anghelescu DL, Liu W, Breazeale AM, Reddick WE, Glass JO, Phillips NS, Jacola LM, Sabin ND, Inaba H, Srivastava D, Robison LL, Pui CH, Hudson MM, Krull KR.   +15 more
europepmc   +1 more source

Combinatorial protein barcodes enable self-correcting neuron tracing with nanoscale molecular context

Park SY, Sheridan A, An B, Jarvis E, Lyudchik J, Patton W, Axup JY, Chan SW, Damstra HG, Leible D, Leung KS, Magno CA, Meeran A, Michalska JM, Rieger F, Wang C, Wu M, Church GM, Funke J, Huffman T, Leeper KG, Truckenbrodt S, Winnubst J, Kornfeld JM, Boyden ES, Rodriques SG, Payne AC.   +26 more
europepmc   +1 more source

Krull Dimension of Bimodules

Journal of Algebra, 2007
Let \(R\) and \(S\) be unital rings with identity, and let \(M\) be a left \(S\)-, right \(R\)-bimodule. One says that the bimodule \(_SM_R\) is `Krull symmetric' if the modules \(_SM\) and \(M_R\) both have Krull dimension, denoted by \(\text{k}(_SM)\) and \(\text{k}(M_R )\), respectively, and \(\text{k}(_S(M/N))=\text{k}((M/N)_R)\) for all sub ...
P F Smith
exaly   +4 more sources

Krull Dimension in Modal Logic [PDF]

Journal of Symbolic Logic, 2017
AbstractWe develop the theory of Krull dimension forS4-algebras and Heyting algebras. This leads to the concept of modal Krull dimension for topological spaces. We compare modal Krull dimension to other well-known dimension functions, and show that it can detect differences between topological spaces that Krull dimension is unable to detect.
Joel Lucero-Bryan, Jan van Mill, Nick Bezhanishvili   +2 more
exaly   +6 more sources

Arithmetical Rings and Krull Dimension [PDF]

Discrete Mathematics and Applications, 2018
Abstract Let A be a commutative arithmetical ring. It is proved that the ring A has Krull dimension if and only if every factor ring of A is finite-dimensional and does not have idempotent proper
Askar Akanovich Tuganbaev
exaly   +4 more sources

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Krull Dimension and Classical Krull Dimension of Modules

Communications in Algebra, 2014
Using the concept of prime submodule defined by Raggi et al. in [16], for M ∈ R-Mod we define the concept of classical Krull dimension relative to a hereditary torsion theory τ ∈M-tors. We prove that if M is progenerator in σ[M], τ ∈M-tors such that M has τ-Krull dimension then cl.K τdim (M) ≤ k τ(M).
Jaime Castro Perez
exaly   +2 more sources

Constructive Krull Dimension I: Integral Extensions

Journal of Algebra and Its Applications, 2009
International audienceWe give a constructive approach to the well known classical theorem saying that an integral extension doesn't change the Krull ...
Henri Lombardi, Claude Quitté
exaly   +2 more sources

Krull Versus Global Dimension in Noetherian P.I. Rings

Proceedings of the American Mathematical Society, 1984
The Krull dimension of any noetherian P.I. ring is bounded above by its global (homological) dimension (when finite).
K R Goodearl
exaly   +2 more sources

Krull Dimension of Solvable Groups

Journal of Algebra, 2010
20B07 ...
Myasnikov, A., Romanovskiy, N.
exaly   +4 more sources

Topological Krull dimension

Journal of Mathematical Sciences, 2006
Let \(M\) be a topological \(R\)-module over a topological ring \(R\). The author introduces the notion of topological Krull dimension of the module \(M\) as follows: 1) if \(M=0\) then \(\text{topKdim\,}M=-1\); 2) \(\text{topKdim\,}M=\alpha\) if \(\text{topKdim\,}M ...
openaire   +2 more sources