Results 91 to 100 of about 3,213,924 (323)
Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics, 2013 Leo Tolstoy Tula State Pedagogical University, Russia, 300026, Tula, Lenina pr., 125, ibalaba@mail.ru, KrasnovaEN.ne@yandex.ruThegradedversionofWedderburn–Artintheoremisobtained.ItgivesdescriptionofsemisimpleG-gradedringforarbitrarygroupG.Homological classification of graded semisimple rings is given.Key words: graded rings, graded modules, semisimple ...
I. N. Balaba, E. N. Krasnova
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Molecular Oncology, EarlyView.This study explores salivary RNA for breast cancer (BC) diagnosis, prognosis, and follow‐up. High‐throughput RNA sequencing identified distinct salivary RNA signatures, including novel transcripts, that differentiate BC from healthy controls, characterize histological and molecular subtypes, and indicate lymph node involvement.
Nicholas Rajan +9 more
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Bridging the gap: Multi‐stakeholder perspectives of molecular diagnostics in oncology
Molecular Oncology, EarlyView.Although molecular diagnostics is transforming cancer care, implementing novel technologies remains challenging. This study identifies unmet needs and technology requirements through a two‐step stakeholder involvement. Liquid biopsies for monitoring applications and predictive biomarker testing emerge as key unmet needs. Technology requirements vary by
Jorine Arnouts +8 more
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Journal of Pure and Applied Algebra, 2012 Let $ $ be a cancelation monoid with the neutral element $e$. Consider a $ $-graded ring $A=\oplus_{ \in }A_ $, which is not necessarily commutative. It is proved that $A_e$, the degree-$e$ part of $A$, is a local ring in the classical sense if and only if the graded two-sided ideal $\mathfrak{M}$ of $A$ generated by all non-invertible homogeneous
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Molecular Oncology, EarlyView.A‐to‐I editing of miRNAs, particularly miR‐200b‐3p, contributes to HGSOC progression by enhancing cancer cell proliferation, migration and 3D growth. The edited form is linked to poorer patient survival and the identification of novel molecular targets.
Magdalena Niemira +14 more
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Molecular Oncology, EarlyView.This study indicates that Merkel cell carcinoma (MCC) does not originate from Merkel cells, and identifies gene, protein & cellular expression of immune‐linked and neuroendocrine markers in primary and metastatic Merkel cell carcinoma (MCC) tumor samples, linked to Merkel cell polyomavirus (MCPyV) status, with enrichment of B‐cell and other immune cell
Richie Jeremian +10 more
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Properties of ϕ-Primal Graded Ideals
Journal of Mathematics, 2017 Let R be a commutative graded ring with unity 1≠0. A proper graded ideal of R is a graded ideal I of R such that I≠R. Let ϕ:I(R)→I(R)∪{∅} be any function, where I(R) denotes the set of all proper graded ideals of R.
Ameer Jaber
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Molecular Oncology, EarlyView.A comprehensive genomic and proteomic analysis of cervical cancer revealed STK11 and STX3 as a potential biomarkers of chemoradiation resistance. Our study demonstrated EGFR as a therapeutic target, paving the way for precision strategies to overcome treatment failure and the DNA repair pathway as a critical mechanism of resistance.
Janani Sambath +13 more
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Prime Ideals and Three-generated Ideals with Large Regularity
Comptes Rendus. MathématiqueAnanyan 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
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On Lie rings of torsion groups
Bulletin of Mathematical Sciences, 2016 We prove that the Lie ring associated to the lower central series of a finitely generated residually-p torsion group is graded nil.
Consuelo Martínez, Efim Zelmanov
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