Results 91 to 100 of about 23,166 (295)

Prime and primary ideals in semirings

Osaka Journal of Mathematics, 2015
We study zero divisors and minimal prime ideals in semirings of characteristic one. Thereafter we find a counterexample to the most obvious version of primary decomposition, but are able to establish a weaker version. Lastly, we study Evans'condition in this context.
openaire   +5 more sources

Localization and Primary Decomposition of Polynomial Ideals

Journal of Symbolic Computation, 1996
The authors give a new algorithm for primary decomposition of a polynomial ideal. Let \(I\) be an ideal of the polynomial ring \(R=\mathbb{Q}[x_1,\dots,x_n]\) over the rational numbers. An ideal is called pseudo-primary, if its radical is a prime ideal. The methods are described roughly as follows.
Takeshi Shimoyama, Kazuhiro Yokoyama
openaire   +2 more sources

Dimethyl fumarate combined with cisplatin at subcytotoxic doses sensitizes cervical cancer toward ferroptosis and apoptosis through GSH restriction and p53 (re)activation

Molecular Oncology, EarlyView.
Dimethyl fumarate (DMF) reduces growth of HPV‐positive cervical cancer spheroids and induces ferroptosis in cervical cancer cells via blocking SLC7A11/Glutathione (GSH) axis. Combination of subcytotoxic doses of DMF and cisplatin (CDDP) further suppresses spheroid growth and drives cell death in 2D culture models.
Carolina Punziano, Giuseppina Minopoli, Simona Romano, Laura Marrone, Katia Aquilano, Maria Lina Tornesello, Raffaella Faraonio   +6 more
wiley   +1 more source

Somatic mutational landscape in von Hippel–Lindau familial hemangioblastoma

Molecular Oncology, EarlyView.
The causes of central nervous system (CNS) hemangioblastoma in Von Hippel–Lindau (vHL) disease are unclear. We used Whole Exome Sequencing (WES) on familial hemangioblastoma to investigate events that underlie tumor development. Our findings suggest that VHL loss creates a permissive environment for tumor formation, while additional alterations ...
Maja Dembic, Anne Nørremølle, Lilian Bomme Ousager, Lars van Brakel Andersen, Marie Louise Mølgaard Binderup, Mads Thomassen   +5 more
wiley   +1 more source

Transcriptional profiling of circulating extracellular vesicles from prebiopsy prostate cancer patients

Molecular Oncology, EarlyView.
RNA profiling of circulating extracellular vesicles (EVs) from blood samples of men undergoing prostate biopsy identifies transcripts associated with clinically significant prostate cancer. Integrative analysis with public tumor datasets links EV‐derived gene signatures to tumor stage and progression‐free survival, highlighting CASP3, XRCC2, and RIT1 ...
Stefan Werner, Pierre Tennstedt, Randi C. Pose, Christian Müller, Katharina Besler, Svenja Schneegans, Malik Alawi, Marie C. Roesch, Sven Peine, Desiree Bonci, Joanna Budna‐Tukan, Evi Lianidou, Catherine Alix‐Panabières, Derya Tilki, Klaus Pantel   +14 more
wiley   +1 more source

On graded 1 -absorbing δ -primary ideals [PDF]

Let G be an abelian group with identity 0 and let R be a commutative graded ring of type G with nonzero unity. Let I(R) be the set of all ideals of R and let δ: I(R)⟶I(R) be a function. Then, according to (R. Abu-Dawwas, M.
Assarrar, Anass, Mahdou, Najib, Habeb, Jebrel M, Abu-Dawwas, Rashid   +3 more
core   +1 more source

Primary ideals in rings of analytic functions [PDF]

, 1975
Primary ideals in the ring of all analytic functions on a noncompact Riemann surface are analyzed with the aid of classical valuation theory.
Norman L. Alling
core   +1 more source

Liquid biopsy‐based diagnostic evaluation of hypermethylated CpG sites for ovarian cancer diagnosis

Molecular Oncology, EarlyView.
This schematic outlines the workflow from biomarker identification to duplex MethyLight assay validation for epithelial ovarian cancer diagnosis using cfDNA‐based liquid biopsy. Initial screening of hypermethylated CpG candidates (cg02957270, cg10061138 cg00480298, COL2A1) was performed in tissue using ARMS‐PCR, COBRA, qPCR and image analysis. Selected
Deepa Bisht, Sameer Gupta, Amrita Chaurasia, Manisha Sachan   +3 more
wiley   +1 more source

Primary Decomposition of Symmetric Ideals

CoRR
We propose an effective method for primary decomposition of symmetric ideals. Let $K[X]=K[x_1,\ldots,x_n]$ be the $n$-valuables polynomial ring over a field $K$ and $\mathfrak{S}_n$ the symmetric group of order $n$. We consider the canonical action of $\mathfrak{S}_n$ on $K[X]$ i.e. $σ(f(x_1,\ldots,x_n))=f(x_{σ(1)},\ldots,x_{σ(n)})$ for $σ\in \mathfrak{
openaire   +3 more sources

On Fiber Cones of 𝑚-Primary Ideals [PDF]

, 2007
Two formulas for the multiplicity of the fiber cone of an 𝑚-primary ideal of a d-dimensional Cohen–Macaulay local ring (R, 𝑚) are derived in terms of the mixed multiplicity ed–1(𝑚|I), the multiplicity e(I), and superficial elements.
A. V. Jayanthan, Tony J. Puthenpurakal, J. K. Verma   +2 more
core   +1 more source