Results 61 to 70 of about 2,837,850 (284)
Let A be a d-dimensional regular local ring with maximal ideal \({\mathfrak m}\), and let \(\lambda\) be an element of \({\mathfrak m}\), \(\lambda\not\in {\mathfrak m}^ 2\). The question addressed in this paper is whether the ring \(A[\lambda^{-1}]\) is super-regular, in the sense that all its maximal ideals can be generated by d-1 elements.
openaire +1 more source
Strongly regular near-rings [PDF]
A strongly regular ring R is one in which for all x ∈ R, there is an a ∈ R with x = x2a. Equivalently, for all x there is an a with x = ax2. Such a ring is regular, duo, biregular, and a left and right V-ring. Moreover since R is reduced, all nilpotent elements are central (vacuously) and so all idempotent elements are central.
openaire +1 more source
Regular star complements in strongly regular graphs [PDF]
We prove that, aside from the complete multipartite graphs and graphs of Steiner type, there are only finitely many connected strongly regular graphs with a regular star complement of prescribed degree s∈N.
Peter Rowlinson, Rowlinson, Peter
core +1 more source
On Weakly Regular Rings and SSF-rings [PDF]
In this work we consider weakly regular rings whose simple singular right R-Modules are flat. We also consider the condition (*): R satisfies L(a)Ír(a) for any aÎR. We prove that if R satisfies(*) and whose simple singular right R-module are flat, then Z
Raida Mahmood
core +2 more sources
Drug resistance limits treatment success in a subset of lung cancers driven by ROS1 gene alterations. Using patient‐derived cells and computer simulations, we studied three key mutations and how they affect five targeted drugs. The mutations reduced drug effectiveness in different ways by altering protein structure and behavior.
Farhan Ul Haq +8 more
wiley +1 more source
Countably regular good spaces and almost Cκ-spaces
In this paper, we build upon our previous studies by redefining fundamental concepts and transferring them from rings of continuous functions to rings of continuous functions with countable images.
Arash Hayati +2 more
doaj +1 more source
Detecting circulating tumor cells (CTCs) in blood before surgery may help predict outcomes in patients with head and neck squamous cell carcinoma (HNSCC). Here, we show when combined with tumor size and lymph node involvement from routine imaging, CTC status identifies high‐risk patients with poorer survival—offering a simple, minimally invasive tool ...
Susanne Flach +9 more
wiley +1 more source
Tumour heterogeneity and clonal evolution of metastatic salivary gland cancer were evaluated in two patients with adenoid carcinoma and one patient with myoepithelial carcinoma. Radiology‐guided autopsy enabled multi‐region sampling (total samples n = 149), followed by whole‐genome sequencing and phylogenetic reconstruction (17 tumour samples, 4–7 per ...
Gerben Lassche +10 more
wiley +1 more source
Some generalizations of strongly regular rings. I. [PDF]
A ring A is called a P1-ring if aAa = aA for all a 2 A. The author's main results are the following theorems. Theorem 6: For an arbitrary ring A with no nonzero nilpotent ideals the following two conditions are equivalent: (i) A is a P1 ring, (ii) A is
Szász, Ferenc Andor
core +1 more source
This study integrates publicly available transcriptomic datasets to identify molecular signatures associated with response to neoadjuvant chemoradiotherapy in locally advanced rectal cancer. By analyzing a combination of multiple cohorts with bioinformatics approaches, we reveal biological pathways and immune‐related features that may improve ...
Aleksandra Stanojevic +10 more
wiley +1 more source

