Results 71 to 80 of about 729,819 (318)

On Rough Fuzzy Prime Ideals in Left Almost Semigroups

International Journal of Analysis and Applications, 2021
In this paper we shall introduce the notion of rough prime ideals and rough fuzzy prime ideals in LA-semigroups. We proved that the lower and the upper approximation of a prime ideal is a prime ideal and we also proved that a fuzzy subset f of an LA ...
Ahmed Elmoasry
doaj  

Plasma extrachromosomal circular DNA as a biomarker in EGFR‐targeted therapy of non‐small cell lung cancer

Molecular Oncology, EarlyView.
Detection of extrachromosomal circular DNA (eccDNA) in plasma samples from EGFR‐mutated non‐small cell lung cancer patients. Plasma was collected before and during treatment with the EGFR‐tyrosine kinase inhibitor osimertinib. Plasma eccDNA was detected in all cancer samples, and the presence of the EGFR gene on eccDNA serves as a potential biomarker ...
Simone Stensgaard, Sarmad Mehmood, Eva Boysen Fynboe Ebert, Peter Meldgaard, Anindya Dutta, Boe S. Sorensen   +5 more
wiley   +1 more source

Distinguishing eigenforms modulo a prime ideal

, 2013
Consider the Fourier expansions of two elements of a given space of modular forms. How many leading coefficients must agree in order to guarantee that the two expansions are the same?
Chow, Sam, Ghitza, Alexandru
core   +1 more source

CDK11 inhibition induces cytoplasmic p21WAF1 splice variant by p53 stabilisation and SF3B1 inactivation

Molecular Oncology, EarlyView.
CDK11 inhibition stabilises the tumour suppressor p53 and triggers the production of an alternative p21WAF1 splice variant p21L, through the inactivation of the spliceosomal protein SF3B1. Unlike the canonical p21WAF1 protein, p21L is localised in the cytoplasm and has reduced cell cycle‐blocking activity.
Radovan Krejcir, Lukasz Arcimowicz, Lucia Martinkova, Vaclav Hrabal, Filip Zavadil Kokas, Tomas Henek, Martina Kucerikova, Ondrej Bonczek, Pavlina Zatloukalova, Lenka Hernychova, Philip J. Coates, Borivoj Vojtesek, David P. Lane   +12 more
wiley   +1 more source

On Soft Near-Prime Int-Ideals and Soft 1-Absorbing Prime Int-Ideals With Applications

Journal of Mathematics
In this study, we aimed to introduce two different generalizations of the soft prime int-ideal and clarify the relationships between the soft prime int-ideal and the substructures of a ring. First, we explored new algebraic features of the soft prime int-
İbrahim Halil Kanat, Filiz Çıtak
doaj   +1 more source

On the Frohman Kania-Bartoszynska ideal

, 2004
The Frohman Kania-Bartoszynska ideal is an invariant associated to a 3-manifold with boundary and a prime p >3. We give some estimates of this ideal.
Gilmer, Patrick M.
core   +4 more sources

Liquid biopsy epigenetics: establishing a molecular profile based on cell‐free DNA

Molecular Oncology, EarlyView.
Cell‐free DNA (cfDNA) fragments in plasma from cancer patients carry epigenetic signatures reflecting their cells of origin. These epigenetic features include DNA methylation, nucleosome modifications, and variations in fragmentation. This review describes the biological properties of each feature and explores optimal strategies for harnessing cfDNA ...
Christoffer Trier Maansson, Anders Lade Nielsen, Boe Sandahl Sorensen   +2 more
wiley   +1 more source

On the structure and applications of neutrosophic prime ideals

AIMS Mathematics
This study explores key characteristics associated with neutrosophic prime ideals. In particular, it is shown that the image corresponding to these ideals contains exactly two different elements.
Ali Yahya Hummdi, Amr Elrawy
doaj   +1 more source

A note on the Eisenbud-Mazur Conjecture [PDF]

, 2014
The Eisenbud-Mazur conjecture states that given an equicharacteristic zero, regular local ring (R,\mathfrak{m}) and a prime ideal P\subset R, we have that P^{(2)}\subseteq mP.
More, Ajinkya A
core  

Periodic self maps and thick ideals in the stable motivic homotopy category over $\mathbb{C}$ at odd primes [PDF]

, 2021
Sven-Torben Stahn
openalex   +1 more source