Results 81 to 90 of about 1,801,897 (347)
Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Discussiones Mathematicae - General Algebra and Applications, 2017 In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
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On Semiprime Noetherian PI-Rings
, 2000 Let R be a semiprime Noetherian PI-ring and Q(R) the semisimple Artinian ring of fractions of R. We shall prove the following conditions are equivalent: (1) the Krull dimention of R is at most one, (2) Any ring between R and Q(R) is again right ...
Chiba, Katsuo
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T1 Over Squared Proton Density Ratio to Characterize Multiple Sclerosis Lesions
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Differentiating remyelinated from demyelinated lesions in MS remains challenging without histological confirmation. This study introduces the T1‐to‐PD2 ratio (TPR) imaging approach and evaluates its ability to characterize MS lesions alongside other quantitative MRI (qMRI) metrics. Methods Thirty individuals with MS (mean age: 47.5 ±
Sarah J. Wright +10 more
wiley +1 more source
Reversible Rings with Involutions and Some Minimalities
The Scientific World Journal, 2013 In continuation of the recent developments on extended reversibilities on rings, we initiate here a study on reversible rings with involutions, or, in short, *-reversible rings. These rings are symmetric, reversible, reflexive, and semicommutative.
W. M. Fakieh, S. K. Nauman
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TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS
, 2010 Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R.
Zhongkui, Liu, Xiaoyan, Yang
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Arthritis Care &Research, EarlyView.Objective This study aimed to investigate hand function trajectories over five years in primary hand osteoarthritis (OA). Additionally, determinants of baseline and longitudinal hand function were assessed. Methods A total of 538 patients with both baseline and five‐year study visits were analyzed.
Annemiek V. E. M. Olde Meule +4 more
wiley +1 more source
On primitive ideals in graded rings
, 2008 Let R = circle plus(infinity)(i=1) Ri be a graded nil ring. It is shown,that primitive ideals in R are homogeneous. Let A = circle plus(infinity)(i=1) Ai be a graded non-PI just-infinite dimensional algebra and let I be a prime ideal in A.
Smoktunowicz, Agata
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Polynomial Rings over Goldie Rings
Journal of Algebra, 2001 The authors construct for each finite field \(K\) a commutative Goldie \(K\)-algebra \(R\) such that the polynomial ring \(R[X]\) is not a Goldie ring.
Antoine, Ramon, Cedó, Ferran
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Arthritis Care &Research, EarlyView.Objective Obesity, defined by body mass index (BMI) ≥30 kg/m2, is a risk factor for functional limitations in people with knee osteoarthritis (OA). However, function varies among such individuals. Our objective was to evaluate the implications of obesity subtypes on longitudinal patterns of physical functioning in people with or at risk for knee OA ...
Kristine Godziuk +7 more
wiley +1 more source
The Multivariable Zhang–Zhang Polynomial of Phenylenes
Axioms, 2023 The Zhang–Zhang polynomial of a benzenoid system is a well-known counting polynomial that was introduced in 1996. It was designed to enumerate Clar covers, which are spanning subgraphs with only hexagons and edges as connected components.
Niko Tratnik
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