Results 51 to 60 of about 2,833 (262)
On the prime ideal theorem and irregularities in the distribution of primes
Duke Mathematical Journal, 1995 For any fixed \(k\in \mathbb{N}\), let \(f(x)\) denote the polynomial \(x^ k+ Qd\) with \(Q,d\in \mathbb{N}\). Put, for fixed \(Q\) and prime \(p\), \[ \rho(d,p)= |\{m \bmod p;\;m^ k+ Qd\equiv 0\bmod p\}|. \] We factorize \(f\) over \(\mathbb{Q}\) as \(f= \prod_{i=1}^{r(d)} f_ i\), where each \(f_ i\) is irreducible and has integral coefficients, then ...
M. NAIR, PERELLI, ALBERTO
openaire +3 more sources
FEBS Open Bio, EarlyView.A novel signature integrating genome‐wide analysis with clinical factors predicts recurrence in stage II colorectal cancer and enables a new risk stratification to guide postoperative adjuvant chemotherapy. Clinical risk stratification for postoperative recurrence in patients with pathological stage II (pStage II) colorectal cancer (CRC) is essential ...
Mayuko Otomo +7 more
wiley +1 more source
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 +2 more
wiley +1 more source
The prime spectrum of a BCI-algebra [PDF]
Journal of Mahani Mathematical ResearchThe aim of the present paper is to define the prime spectrum of a BCI-algebra as a generalization of prime spectrum BCK-algebras with respect to prime ideals.
Ardavan Najafi, Arsham Borumand Saeid
doaj +1 more source
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 +6 more
wiley +1 more source
Prime splittings of determinantal ideals [PDF]
Communications in Algebra, 2018 Final version to appear in Communications in ...
Mohammadi, Fatemeh, Rauh, Johannes
openaire +3 more sources
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 +5 more
wiley +1 more source
A yeast model of 5‐oxoproline accumulation reveals a general toleration to 5‐oxoproline
FEBS Open Bio, EarlyView.Using a yeast model, we show that even high accumulation of 5‐oxoproline causes only mild cellular stress and does not trigger oxidative stress. Instead, cells adapt by activating efflux pumps and diverse protective pathways, suggesting that previously proposed harmful effects of 5‐oxoproline may arise from indirect metabolic imbalances rather than the
Pratiksha Dubey +4 more
wiley +1 more source
Proper Fuzzification of Prime Ideals of a Hemiring
Advances in Fuzzy Systems, 2012 Prime fuzzy ideals, prime fuzzy k-ideals, and prime fuzzy h-ideals are roped in one condition. It is shown that this way better fuzzification is achieved. Other major results of the paper are: every fuzzy ideal (resp., k-ideal, h-ideal) is contained in a
H. V. Kumbhojkar
doaj +1 more source
A Prime Ideal Principle for Two-Sided Ideals [PDF]
Communications in Algebra, 2016 22 ...
openaire +4 more sources