Results 121 to 130 of about 2,014,536 (376)
On (σ, δ)(S, 1) rings and their extensions [PDF]
Mathematica Moravica, 2017 Let R be a ring, σ an endomorphism of R and δ a σ derivation of R. We recall that R is called an (S, 1)-ring if for a, b _ R, ab = 0 implies aRb = 0. We involve σ and δ to generalize this notion and say that R is a (σ, δ) - (S, 1) ring if for a, b _ R ...
Bhat Kumar Vijay
doaj
Prime Rings with Involution Whose Symmetric Zero-Divisors are Nilpotent [PDF]
, 1973 P. M. Cohn
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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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Correlation of the differential expression of PIK3R1 and its spliced variant, p55α, in pan‐cancer
Molecular Oncology, EarlyView.PIK3R1 undergoes alternative splicing to generate the isoforms, p85α and p55α. By combining large patient datasets with laboratory experiments, we show that PIK3R1 spliced variants shape cancer behavior. While tumors lose the protective p85α isoform, p55α is overexpressed, changes linked to poorer survival and more pronounced in African American ...
Ishita Gupta +10 more
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On S-2-Prime Ideals of Commutative Rings
MathematicsPrime ideals and their generalizations are crucial in numerous research areas, particularly in commutative algebra. The concept of generalization of prime ideals begins with the study of weakly prime ideals.
Sanem Yavuz +3 more
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Prime Principal Right Ideal Rings
Missouri Journal of Mathematical SciencesLet R be a commutative ring with unity $1\in R$. In this article, we introduce the concept of prime principal right ideal rings (\textbf{PPRIR}), A prime ideal P of R is said to be prime principal right ideal (\textbf{PPRI}) is given by $P =\{ ar : r\in R\}$ for some element a.
Al-Shorman, Tamem, Bataineh, Malik
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Molecular Oncology, EarlyView.To integrate multiple transcriptomics data with severe batch effects for identifying MB subtypes, we developed a novel and accurate computational method named RaMBat, which leveraged subtype‐specific gene expression ranking information instead of absolute gene expression levels to address batch effects of diverse data sources.
Mengtao Sun, Jieqiong Wang, Shibiao Wan
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Interplay between RNA‐protein interactions and RNA structures in gene regulation
FEBS Open Bio, EarlyView.Methodological advances in mapping transcriptome‐wide RNA‐protein interactions and RNA structures have started to uncover the potential of RNP conformations in gene regulation. Competing RNA–RNA, RNA‐protein and protein–protein interactions shape the compaction and function of RNPs throughout their lifetime and may provide novel therapeutic targets in ...
Jenni Rapakko +2 more
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On Graded Jgr-Prime Submodules
Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, we obtain several results concerning graded Jgr-prime submodules over a commutative graded ring. For example, we give fa characterization of graded Jgr-prime submodules and results related to residual of graded Jgr-prime submodules. Also,
M. Alnimer, K. Al-Zoubi, M. Al-Dolat
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