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Ideal structure of Leavitt path algebras with coefficients in a unital commutative ring [PDF]
Let $E$ be an arbitrary (countable) graph and let $R$ be a unital commutative ring. We analyze the ideal structure of the Leavitt path algebra $\lr$ introduced by Mark Tomforde. We first modify the definition of basic ideals and we then develop the ideal
Larki, Hossein
core
Beyond its role in immune evasion, this study identified that CD47 drives tumor‐intrinsic signaling in non‐small cell lung cancer (NSCLC). Transcriptomic profiling and functional studies revealed that CD47 regulates cell adhesion, migration, and metastasis through an ERK–EMT signaling axis.
Asa P.Y. Lau +8 more
wiley +1 more source
Molecular cancer prevention: Intercepting disease
Oncological practice must evolve, from treating established tumours to proactive cancer interception before clinical manifestation. This will require mechanistic insight into tumour initiation, validated biomarkers of early disease development and redesigned clinical trials, enabling cancer interception to become a core pillar of oncology with the ...
Charlotte Grieco +2 more
wiley +1 more source
Linear resolutions of powers and products
The goal of this paper is to present examples of families of homogeneous ideals in the polynomial ring over a field that satisfy the following condition: every product of ideals of the family has a linear free resolution.
A. Aramova +22 more
core +1 more source
Single‐molecule DNA flow‐stretch assays for high‐throughput DNA–protein interaction studies
We describe an optimised single‐molecule DNA flow‐stretch assay that visualises DNA–protein interactions in real time. Linear DNA fragments are tethered to a surface and stretched by buffer flow for fluorescence imaging. Using λ and φX174 DNA, this protocol enhances reproducibility and accessibility, providing a versatile approach for studying diverse ...
Ayush Kumar Ganguli +8 more
wiley +1 more source
Prime Ideals and Three-generated Ideals with Large Regularity
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
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 +4 more
openaire +2 more sources
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
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
Two notes on homogeneous prime ideals in graded Noetherian rings
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ratliff, L.J., Rush, David E.
openaire +2 more sources

