Results 111 to 120 of about 427,861 (368)

Radicals of rings and their subrings [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 1981
It is a fundamental fact in the theory of radicals of associative rings that if S is a radical and I is a two-sided ideal of R then S(I)⊆S(R). In view of this result it seems to be interesting to investigate radicals satisfying such or similar connections for other type of subrings. There are many works devoted to similar problems (2, 8, 8, 10).
openaire   +2 more sources

Clinical applications of next‐generation sequencing‐based ctDNA analyses in breast cancer: defining treatment targets and dynamic changes during disease progression

open access: yesMolecular Oncology, EarlyView.
Circulating tumor DNA (ctDNA) offers a possibility for different applications in early and late stage breast cancer management. In early breast cancer tumor informed approaches are increasingly used for detecting molecular residual disease (MRD) and early recurrence. In advanced stage, ctDNA provides a possibility for monitoring disease progression and
Eva Valentina Klocker   +14 more
wiley   +1 more source

Syntheses of 3-O-Demethylthalicthuberine and N-Acetyl-seco-N-methyllaurotetanine [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2006
The structures previously assigned to the phenanthrene alkaloids 3-O-demethylthalicthuberine and N-acetyl-seco-N methyllaurotetanine have been confirmed by total syntheses in which the key step involved formation of ring C of the aporphine alkaloids ...
Rujee Lorpitthaya   +2 more
doaj  

Strongly 2T - Clean Rings [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics
An element a in a ring R is referred to be strongly 2T-clean (2 – STC element for short), a = Ω-Λ+u, where Ω,Λ are idempotent elements and u is a unit elements of order three.
Zeina Hamady, Nazar Shuker
doaj   +1 more source

Photoredox Radical/Polar Crossover Enables Construction of Saturated Nitrogen Heterocycles.

open access: yesOrganic Letters, 2019
Photoredox-mediated radical/polar crossover (RPC) processes offer new avenues for the synthesis of cyclic molecules. This process has been realized for the construction of medium-sized saturated nitrogen heterocycles.
Loïc R. E. Pantaine   +4 more
semanticscholar   +1 more source

A comparative study of circulating tumor cell isolation and enumeration technologies in lung cancer

open access: yesMolecular Oncology, EarlyView.
Lung cancer cells were spiked into donor blood to evaluate the recovery rates of the following circulating tumor cell (CTC) enrichment technologies: CellMag™, EasySep™, RosetteSep™, Parsortix® PR1, and Parsortix® Prototype systems. Each method's advantages and disadvantages are described.
Volga M Saini   +11 more
wiley   +1 more source

Cell‐free and extracellular vesicle microRNAs with clinical utility for solid tumors

open access: yesMolecular Oncology, EarlyView.
Cell‐free microRNAs (cfmiRs) are small‐RNA circulating molecules detectable in almost all body biofluids. Innovative technologies have improved the application of cfmiRs to oncology, with a focus on clinical needs for different solid tumors, but with emphasis on diagnosis, prognosis, cancer recurrence, as well as treatment monitoring.
Yoshinori Hayashi   +6 more
wiley   +1 more source

Strongly Invo. T- Clean Rings [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics
In this paper, we present the idea of a strongly invo. T-clean rings, which we define as rings with every a in R having the formula a = t + v, where t is a tripotent and v is an order two unit that commute.
Rand Alneamy, Nazar Shuker
doaj   +1 more source

Radicals Of Polynomial Rings [PDF]

open access: yesCanadian Journal of Mathematics, 1956
Introduction. Let R be a ring and let R[x] be the ring of all polynomials in a commutative indeterminate x over R. Let J(R) denote the Jacobson radical (5) of the ring R and let L(R) be the lower radical (4) of R. The main object of the present note is to determine the radicals J(R[x]) and L(R[x]).
openaire   +2 more sources

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