Results 51 to 60 of about 1,390,742 (240)
Chains of Prime Ideals and Primitivity of ℤ $\mathbb {Z}$ -Graded Algebras
The authors study affine, prime, \(\mathbb Z\)-graded algebras \(R=\bigoplus_{i\in \mathbb Z} R_i\) generated by elements with degrees \(1\), \(-1\) and \(0\), with \(R_0\) finite-dimensional. The results are as follows. 1) These algebras have finite classical Krull dimension when they have quadratic growth.
Greenfeld, Be'eri +3 more
openaire +3 more sources
Gravity‐Dependent Modulation of Downbeat Nystagmus: Insights From Velocity‐Storage Dysfunction
ABSTRACT Objective Downbeat nystagmus varies with head position, a phenomenon termed gravity‐dependent modulation. We aimed to clarify its mechanism using a velocity‐storage model. Methods In 10 patients with downbeat nystagmus due to cerebellar disorders, we recorded eye movements at different pitch‐ and roll‐axis head positions.
Ji‐Hyung Park +5 more
wiley +1 more source
Global Rather Than Vertical‐Selective Saccadic Abnormalities in Progressive Supranuclear Palsy
ABSTRACT Objective To test whether vertical saccades are preferentially affected in Progressive Supranuclear Palsy (PSP). Methods PSP patients (n = 24) were compared to age‐matched controls (n = 94) and two degenerative groups (Alzheimer's disease, n = 20; Lewy body disease, n = 50).
Duy Duan Nguyen +6 more
wiley +1 more source
Hesitant Fuzzy Prime Ideal Of Ring.
In this paper, we study hesitant fuzzy sets and some of its properties .We introduce the notions of hesitant fuzzy ideal, hesitant fuzzy prime ideal of a ring and hesitant fuzzy strongly prime ideal ,hesitant fuzzy 3- prime ideals .
et. al., Ali Abbas. J.
core +1 more source
ABSTRACT Objective The prognosis of glioblastoma (GBM) remains highly unfavorable, largely due to high tumor heterogeneity and an immunosuppressive microenvironment. However, the functional role of PANoptosis in this context is poorly understood. Methods Patients were stratified via K‐means clustering. A risk score model was constructed using prognosis‐
Langfei Tian +6 more
wiley +1 more source
Objective Clinical response to mycophenolic acid (MPA) is highly heterogeneous; thus, therapeutic drug level monitoring (TDM) may help improve treatment efficacy. This systematic review and meta‐analysis examined therapeutic ranges for MPA levels associated with better outcomes and safety in patients with systemic lupus erythematosus (SLE ...
Zahraa Qamhieh +5 more
wiley +1 more source
Purity of the Ideal of Continuous Functions with Compact Support [PDF]
<P>Let C(X) be the ring of all continuous real valued functions defined on a completely regular T1-space. Let CK(X) be the ideal of functions with compact support.
Al-Ezeh, H. +3 more
core +1 more source
Objective Although the definition of a gout flare is well established, the state of gout flare resolution has not yet been defined. This study aimed to explore patients’ experiences and perceptions of gout flare resolution. Methods Semistructured interviews were conducted with 24 people with gout, guided by open‐ended questions exploring their ...
Sarah Stewart +5 more
wiley +1 more source
Projective prime ideals and localisation in pi-rings [PDF]
The results here generalise [2, Proposition 4.3] and [9, Theorem 5.11]. We shall prove the following. THEOREM A. Let R be a Noetherian PI-ring. Let P be a non-idempotent prime ideal of R such that PR is projective. Then P is left localisable and RP is
Chatters, A. W. +5 more
core +1 more source
dynoGP: Deep Gaussian Processes for Dynamic System Identification
This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli +3 more
wiley +1 more source

