Results 71 to 80 of about 386,457 (283)
International Journal of Mathematics and Mathematical Sciences, 2003 We introduce the notion of clean ideal, which is a natural generalization of clean rings. It is shown that every matrix ideal over a clean ideal of a ring is clean. Also we prove that every ideal having stable range one of a regular ring is clean.
Huanyin Chen, Miaosen Chen
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Molecular Oncology, EarlyView.This study shows that copy number variations (CNVs) can be reliably detected in formalin‐fixed paraffin‐embedded (FFPE) solid cancer samples using ultra‐low‐pass whole‐genome sequencing, provided that key (pre)‐analytical parameters are optimized.
Hanne Goris +10 more
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Karpatsʹkì Matematičnì Publìkacìï, 2018 We investigate commutative Bezout domains in which any nonzero prime ideal is contained in a finite set of maximal ideals. In particular, we have described the class of such rings, which are elementary divisor rings.
B.V. Zabavsky, O.M. Romaniv
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On p.p. structural matrix rings
Linear Algebra and its Applications, 2012 If every principal left ideal of a ring is projective, the ring is called a `left p.p. ring'. It is known that a ring \(R\) is left semihereditary (i.e. every finitely generated left ideal is projective) if and only if every matrix ring over \(R\) is a left p.p. ring.
Li, Chunna, Zhou, Yiqiang
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Tumor mutational burden as a determinant of metastatic dissemination patterns
Molecular Oncology, EarlyView.This study performed a comprehensive analysis of genomic data to elucidate whether metastasis in certain organs share genetic characteristics regardless of cancer type. No robust mutational patterns were identified across different metastatic locations and cancer types.
Eduardo Candeal +4 more
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A constructive proof of the Wedderburn-Artin theorem
, 2014 In this short note, we use the idempotent decomposition to give an explicit isomorphism from a semisimple Artinian ring to an external direct sum of finite full matrix rings over division ...
Gao, Sheng
core
The PI3Kδ inhibitor roginolisib (IOA‐244) preserves T‐cell function and activity
Molecular Oncology, EarlyView.Identification of novel PI3K inhibitors with limited immune‐related adverse effects is highly sought after. We found that roginolisib and idelalisib inhibit chronic lymphocytic leukemia (CLL) cells and Treg suppressive functions to similar extents, but roginolisib affects cytotoxic T‐cell function and promotion of pro‐inflammatory T helper subsets to a
Elise Solli +7 more
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Algebraic Structure of Supernilpotent Radical Class Constructed from a Topology Thychonoff Space
Al-Jabar, 2020 A radical class of rings is called a supernilpotent radicals if it is hereditary and it contains the class for some positive integer In this paper, we start by exploring the concept of Tychonoff space to build a supernilpotent radical.
Puguh Wahyu Prasetyo +2 more
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Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular Oncology, EarlyView.This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
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Strongly clean matrix rings over local rings
Journal of Algebra, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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