Results 111 to 120 of about 450,444 (294)
A theory of grade for commutative rings [PDF]
Proceedings of the American Mathematical Society, 1972 A theory of grade is developed using R-sequences, the Koszul complex and standard homological algebra. Most results of interest are for finitely generated ideals.
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Translating whole‐genome doubling into precision medicine in cancer
Molecular Oncology, EarlyView.Whole‐genome doubling creates a WGD‐positive tumor state characterized by persistent chromosomal instability, karyotypic diversification, and cellular stress. These same biological pressures drive aggressive tumor evolution while exposing therapeutic vulnerabilities, providing a rationale for WGD‐informed precision medicine. Whole‐genome doubling (WGD)
Sejung Lee, Junghyeok Lim, Jinhyuk Bhin
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Molecular Oncology, EarlyView.Single‐cell DNA methylation (scDNAme) profiling maps epimutational clonal evolution, revealing mechanisms of malignancy and therapeutic resistance across diverse cancer types. By providing a high‐resolution landscape of intratumoral heterogeneity, these technologies empower precise patient stratification, guide the development of enhanced ...
Ik Soo Kim
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PANoptosis in the pathogenesis of myelodysplastic syndromes
Molecular Oncology, EarlyView.PANoptosis, a combination of three types of programmed cell death, is mediated by a large protein complex called a PANoptosome. In healthy bone marrow hematopoietic cells, PANoptosis is restricted by inhibitory signaling. In MDS, bone marrow cells become sensitive to the PANoptotic stimuli due to the aberrant inactivation of inhibitory signaling or ...
Rohit Thalla +4 more
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Injective generation for graded rings [PDF]
In this paper we investigate injective generation for graded rings. We first examine the relation between injective generation and graded injective generation for graded rings.
Psaroudakis, Chrysostomos +1 more
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Molecular Oncology, EarlyView.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
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Dirac geometry II: coherent cohomology
Forum of Mathematics, SigmaDirac rings are commutative algebras in the symmetric monoidal category of $\mathbb {Z}$ -graded abelian groups with the Koszul sign in the symmetry isomorphism.
Lars Hesselholt, Piotr Pstrągowski
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Selfduality and Strongly Graded Rings
Journal of Algebra, 1997 Let \(R\) be a ring graded by a finite group \(G\). The author proves that \(R\) has graded self-duality iff the smash product \(R\# G\) has self-duality iff \(R\) has self-duality. If \(R\) is strongly graded then \(R\) has self-duality iff its initial subring \(R_e\) has self-duality.
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Molecular Oncology, EarlyView.This study identifies somatostatin receptor 4 (Sstr4) as a critical tumor suppressor against skin and head/neck cancers (HNSCC, cSCC, and BCC). The loss of Sstr4 removes a check on cell growth, causing hyperactivation of the MAPK‐ERK signaling pathway (↑).
Ali Taqvi +6 more
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Graded Classical Weakly Prime Submodules over Non-Commutative Graded Rings
, 2023 The goal of this article is to propose and examine the notion of graded classical weakly prime submodules over non-commutative graded rings which is a generalization of the concept of graded classical weakly prime submodules over commutative graded rings.
Abu-Dawwas, Rashid, Habeb, Jebrel M.
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