Results 31 to 40 of about 157 (150)

Prime Ideals and Three-generated Ideals with Large Regularity

Comptes Rendus. Mathématique
Ananyan and Hochster proved the existence of a function $\Phi (m,d)$ such that any graded ideal $I$ generated by $m$ forms of degree at most $d$ in a standard graded polynomial ring satisfies $\mathrm{reg}(I) \le \Phi (m,d)$. Relatedly, Caviglia et.
McCullough, Jason
doaj   +1 more source

On graded pseudo 2-prime ideals

Proyecciones (Antofagasta)
In this paper, we study graded pseudo 2-prime ideals of graded commutative rings with nonzero identities. Let G be a commutative additive monoid with an identity element 0, and R=⊕g∈G Rg be a commutative graded ring with a nonzero identity element. A proper graded ideal I of R is said to be a graded pseudo 2-prime ideal if whenever ab ∈ I for some ...
Anass Assarrar, Najib Mahdou, Muroj Al-Shboul, Ünsal Tekïr, Suat Koç   +4 more
openaire   +2 more sources

DIFFERENT TYPES OF G-PRIME IDEALS ASSOCIATED TO A GRADED MODULE AND GRADED PRIMARY DECOMPOSITION IN A GRADED PRÜFER DOMAIN

International Electronic Journal of Algebra, 2020
Summary: In this paper, we introduce the notion of graded Prüfer domain as a generalization of Prüfer domain to the graded case. We generalize several types of prime ideals associated to a module over a ring to the graded case and prove that most of them coincide over a graded Prüfer domain.
ANSARI, Ajim Uddin, SHARMA, B. K., KUMAR, Shiv Datt   +2 more
openaire   +4 more sources

YIPFα1A expression is regulated by multilayered molecular mechanisms

FEBS Open Bio, EarlyView.
YIPFα1A, a five‐pass Golgi protein, is regulated at multiple layers. (1) Rare‐codon enrichment drives translation‐coupled mRNA decay. (2) A proximal 3′‐UTR element stabilizes mRNA. (3) A distal 3′‐UTR element included by alternate poly(A) site usage represses translation, which can be overridden by the proximal 3′‐UTR element.
Tokio Takaji, Yurika Nakanishi, Nobuhiro Nakamura   +2 more
wiley   +1 more source

Two notes on homogeneous prime ideals in graded Noetherian rings

Journal of Algebra, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ratliff, L.J., Rush, David E.
openaire   +2 more sources

Acute caffeine treatment protects the developing retina from ischemia‐induced cell death

FEBS Open Bio, EarlyView.
Caffeine reduces cell death in the developing retina under ischemia (OGD). This effect does not involve BDNF upregulation or antioxidant pathways (NRF2/VEGF). Neuroprotection occurs mainly through adenosine A2A receptor antagonism, decreasing glutamate release and excitotoxicity, highlighting caffeine's potential as an acute neuroprotective agent in ...
Amanda Alves Nascimento, Danniel Pereira‐Figueiredo, Gabriella Grossi de Lima Dias, Gabriel Ferreira dos Santos, Mariana Rodrigues Pereira, Rafael Brito, Karin C Calaza   +6 more
wiley   +1 more source

Pharmacological inhibition of the PERK pathway modulates hepatocellular carcinoma growth and immune signaling

FEBS Open Bio, EarlyView.
Pharmacological inhibition of PERK in a DEN‐induced mouse model of liver cancer does not reduce tumor burden but alters cellular stress signaling. Despite blocking PERK activity, downstream stress responses, including CHOP expression, remain active, suggesting compensatory mechanisms within the unfolded protein response that may influence tumor ...
Ada Lerma‐Clavero, Maria Kopsida, Nathalie Arendt, Hans Lennernäs, Markus Sjöblom, Femke Heindryckx   +5 more
wiley   +1 more source

Uncovering G Protein‐Coupled Receptors: Novel Targets and Biomarkers for Predicting Glioma Prognosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Low‐grade gliomas (LGG) exhibit significant heterogeneity and recurrence risk. G protein‐coupled receptors (GPCR) contribute to glioma malignant progression, but their prognostic value remains unclear. This work attempts to formulate a GPCR‐based outcome‐predicting model for LGG. Methods Based on TCGA LGG data, the enrichment scores
Jun Yang, Dongxu Zhang, Dongyuan Liu, Da Lin, Hao Wang   +4 more
wiley   +1 more source

The Norm Function for Commutative ${\mathbb{Z}}_2$-Graded Rings

Axioms
Consider a commutative Z2-graded ring (R=R0⨁R1). Consequently, each element (x∈R) can be uniquely expressed as x=x0+x1, where x0∈R0 and x1∈R1. For any x∈R, we consider the function N(x)=x02−x12.
Azzh Saad Alshehry, Rashid Abu-Dawwas
doaj   +1 more source

Clinical Significance of Therapeutic Drug Level Monitoring for Mycophenolate in Patients With Extrarenal Systemic Lupus Erythematosus—A Systematic Review and Meta‐Analysis

Arthritis Care &Research, EarlyView.
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, Dalia Sriwi, Callie Saric, Tripti Singh, Christie M. Bartels, Shivani Garg   +5 more
wiley   +1 more source