Results 71 to 80 of about 115,699 (314)

(θ1,θ2) - Derivation Pair on Rings

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2022
Ring theory is one of the influential branches of abstract algebra. In this field, many algebraic problems have been considered by mathematical researchers who are working in this field.
Mohammed Khalid Shahoodh
doaj   +1 more source

KRAS and GNAS mutations in cell‐free DNA and in circulating epithelial cells in patients with intraductal papillary mucinous neoplasms—an observational pilot study

open access: yesMolecular Oncology, EarlyView.
This study demonstrates that KRAS and GNAS mutations are more prevalent in patients with resected intraductal papillary mucinous neoplasms (IPMN) compared to those under clinical surveillance. GNAS mutations significantly differ between the two patient cohorts, indicating that their absence may serve as a potential biomarker to support conservative ...
Christine Nitschke   +12 more
wiley   +1 more source

Cellular liquid biopsy provides unique chances for disease monitoring, preclinical model generation and therapy adjustment in rare salivary gland cancer patients

open access: yesMolecular Oncology, EarlyView.
We quantified and cultured circulating tumor cells (CTCs) of 62 patients with various cancer types and generated CTC‐derived tumoroid models from two salivary gland cancer patients. Cellular liquid biopsy‐derived information enabled molecular genetic assessment of systemic disease heterogeneity and functional testing for therapy selection in both ...
Nataša Stojanović Gužvić   +31 more
wiley   +1 more source

A one-sided Prime Ideal Principle for noncommutative rings [PDF]

open access: yesJournal of Algebra and Its Applications, vol. 9, no. 6 (2010) 877-919, 2009
Completely prime right ideals are introduced as a one-sided generalization of the concept of a prime ideal in a commutative ring. Some of their basic properties are investigated, pointing out both similarities and differences between these right ideals and their commutative counterparts.
arxiv   +1 more source

Addressing persistent challenges in digital image analysis of cancer tissue: resources developed from a hackathon

open access: yesMolecular Oncology, EarlyView.
Large multidimensional digital images of cancer tissue are becoming prolific, but many challenges exist to automatically extract relevant information from them using computational tools. We describe publicly available resources that have been developed jointly by expert and non‐expert computational biologists working together during a virtual hackathon
Sandhya Prabhakaran   +16 more
wiley   +1 more source

ON DIFFERENTIAL IDEALS OF DIFFERENTIAL RINGS [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2012
In this paper we introduce two operators denoted by and of a differential ring constructed from a subset of a differential ring. We shall also discuss the relationship between these operators and the differential ideals in differential rings, and Keigher
Yaseen A.W. Alhiti
doaj   +1 more source

On local cohomology modules over ramified regular local rings [PDF]

open access: yesarXiv, 2023
In this paper, we show examples of local cohomology modules over ramified regular local ring, having finite set of associated primes. In doing so we consider our ramified regular local ring as Eisenstein extension of an unramified regular local ring sitting inside it and we use the Mayer-Vietoris spectral sequence to show the finiteness of the set of ...
arxiv  

Targeted metabolomics reveals novel diagnostic biomarkers for colorectal cancer

open access: yesMolecular Oncology, EarlyView.
This study employed targeted metabolomic profiling to identify 302 distinct metabolites present in platelet‐rich plasma (PRP), revealing aberrant metabolic profiles amongst individuals diagnosed with colorectal cancer (CRC). Compared to carcinoembryonic antigen (CEA) and cancer antigen 19‐9 (CA199), our metabolite panel showed improved sensitivity ...
Zuojian Hu   +7 more
wiley   +1 more source

On derivations and commutativity in prime rings [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
Let R be a prime ring of characteristic different from 2, d a nonzero derivation of R, and I a nonzero right ideal of R such that [[d(x), x], [d(y), y]] = 0, for all x, y ∈ I. We prove that if [I, I]I ≠ 0, then d(I)I = 0.
openaire   +5 more sources

KMT2A degradation is observed in decitabine‐responsive acute lymphoblastic leukemia cells

open access: yesMolecular Oncology, EarlyView.
We demonstrate that decitabine (DEC) not only degrades the DNA methyltransferase DNMT1 but also the leukemic driver lysine methyltransferase KMT2A likely due to structural similarity of the DNA‐binding CXXC domains. DEC influences KMT2A downstream processes and synergizes with menin inhibitor revumenib (REV) to decrease leukemic cell proliferation, and
Luisa Brock   +10 more
wiley   +1 more source

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