Results 101 to 110 of about 9,843,422 (355)
Properties of Primes and Multiplicative Group of a Field [PDF]
Formalized Mathematics, 2009 In the [16] has been proven that the multiplicative group Z/pZ∗ is a cyclic group. Likewise, finite subgroup of the multiplicative group of a field is a cyclic group. However, finite subgroup of the multiplicative group of a field being a cyclic group has not yet been proven.
Arai, Kenichi, Okazaki, Hiroyuki
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A Middle-Aged Enzyme Still in Its Prime: Recent Advances in the Field of Cutinases
Catalysts, 2018 Cutinases are α/β hydrolases, and their role in nature is the degradation of cutin. Such enzymes are usually produced by phytopathogenic microorganisms in order to penetrate their hosts. The first focused studies on cutinases started around 50 years ago.
E. Nikolaivits +3 more
semanticscholar +1 more source
Molecular Oncology, EarlyView.NAD+ regeneration by mitochondrial complex I NADH dehydrogenase is important for cancer cell proliferation. Specifically, NAD+ is necessary for the activities of NAD+‐dependent deacetylases SIRT3 and SIRT7, which suppress the expression of p21Cip1 cyclin‐dependent kinase inhibitor, an antiproliferative molecule, at the translational and transcriptional
Masato Higurashi +5 more
wiley +1 more source
On actions of connected Hopf algebras [PDF]
arXiv, 2020 Let $H$ be a connected Hopf algebra acting on an algebra $A$. Working over a base field having characteristic $0$, we show that for a given prime (semi-prime, completely prime) ideal $I$ of $A$, the largest $H$-stable ideal of A contained in $I$ is also prime (semi-prime, completely prime).
arxiv
Molecular Oncology, EarlyView.CircCCNB1 expression is down‐regulated in nasopharyngeal carcinoma (NPC); thus, less NF90 protein is bound to circCCNB1 and more binds to pri‐miRNAs, blocking their (pri‐miRNAs) binding to DGCR8 and inhibiting the processing and generation of miR‐15b‐5p/miR‐7‐1‐3p. Furthermore, decreased miR‐15b‐5p/miR‐7‐1‐3p promotes the expression of the target genes
Chunmei Fan +6 more
wiley +1 more source
Inequivalent representations of matroids over prime fields
Advances in Applied Mathematics, 2013 It is proved that for each prime field $GF(p)$, there is an integer $f(p)$ such that a 4-connected matroid has at most $f(p)$ inequivalent representations over $GF(p)$. We also prove a stronger theorem that obtains the same conclusion for matroids satisfying a connectivity condition, intermediate between 3-connectivity and 4-connectivity that we term "$
Jim Geelen, Geoff Whittle
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Molecular Oncology, EarlyView.This study investigates an alternative approach to reactivating the oncosuppressor p53 in cancer. A short peptide targeting the association of the two p53 inhibitors, MDM2 and MDM4, induces an otherwise therapeutically active p53 with unique features that promote cell death and potentially reduce toxicity towards proliferating nontumor cells.
Sonia Valentini +10 more
wiley +1 more source
Malaphoric $$Z^\prime $$ Z ′ models for $$b \rightarrow s \ell ^+ \ell ^-$$ b → s ℓ + ℓ - anomalies
European Physical Journal C: Particles and FieldsWe study some phenomenological effects of kinetic mixing between the hypercharge field and a new U(1) gauge field in specific $$Z^\prime $$ Z ′ models that ameliorate the tensions between measurements and Standard Model predictions in $$b \rightarrow s ...
Ben Allanach, Nico Gubernari
doaj +1 more source
Carlitz module analogues of Mersenne primes, Wieferich primes, and certain prime elements in cyclotomic function fields [PDF]
arXiv, 2014 In this paper, we introduce a Carlitz module analogue of Mersenne primes, and prove Carlitz module analogues of several classical results concerning Mersenne primes. In contrast to the classical case, we can show that there are infinitely many composite Mersenne numbers.
arxiv
Multiplicative decomposition of arithmetic progressions in prime fields
Journal of Number Theory, 2014 15 ...
Sergei Konyagin, Moubariz Z. Garaev
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