O. Bezushchak
We describe derivations of several important associative and Lie rings of infinite matrices over general rings of coefficients.
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O. Bezushchak
We describe derivations of several important associative and Lie rings of infinite matrices over general rings of coefficients.
Mohammed Dashti, Rasheeba Nizam, Prashantha Hebbar et al.
AbstractThere has recently been a growing interest in examining the role of epigenetic modifications, such as DNA methylation, in the etiology of type 1 diabetes (T1D). This study aimed to delineate differences in methylation patterns between T1D-affected and healthy individuals by examining the genome-wide methylation of individuals from three Arab families from Kuwait with T1D-affected mono-/dizygotic twins and non-twinned siblings. Bisulfite sequencing of DNA from the peripheral blood of the affected and healthy individuals from each of the three families was performed. Methylation profiles of the affected individuals were compared to those of the healthy individuals Principal component analysis on the observed methylation profiling based on base-pair resolution clustered the T1D-affected twins together family-wide. The sites/regions that were differentially methylated between the T1D and healthy samples harbored 84 genes, of which 18 were known to be differentially methylated in T1D individuals compared to healthy individuals in publicly available gene expression data resources. We further validated two of the 18 genes—namely ICA1 and DRAM1 that were hypermethylated in T1D samples compared to healthy samples—for upregulation in T1D samples from an extended study cohort of familial T1D. The study confirmed that the ICA1 and DRAM1 genes are differentially expressed in T1D samples compared to healthy samples.
Alexander Skutin
In this short note we confirm an analog of a conjecture of James Wiegold for finite dimensional nilpotent Lie algebras.
Dimitrinka Vladeva
The aim of this article is to start a study of Jordan derivations in finite endomorphism semirings.
Richard Cushman
We show that a fundamental sandwich algebra has an analogue of a root system of a semisimple Lie algebra. This leads to an analogue of a Weyl group, which we study in another paper.
Cristina Flaut
In this paper we improve the level and sublevel of algebras obtained by the Cayley-Dickson process when their level and sublevel are greater than dimension of the algebras.
Adel Alahmadi, Hamed Alsulami
We prove that if $A$ is finitely presented algebra with idempotent $e$ such that $A=AeA=A(1-e)A$ then the algebra $eAe$ is finitely presented.
Uladzimir Yahorau
We give a counterexample to the conjugacy of maximal abelian diagonalizable subalgebras in extended affine Lie algebras.
Bruno Ferreira, Ruth Nascimento
In this paper we deal with the Wedderburn b-decomposition for alternative baric algebras.
Ivan Trendafilov
The goal of this paper is to provide some basic structure information on derivations in finite semirings.
Donatien Gaparayi, A. Nourou Issa
Multiplicative left Hom-Leibniz algebras have natural Hom-Lie-Yamaguti structure.
A. Tsurkov
In the variety of all linear algebras over the infinite field the difference between geometric and automorphic equivalence of algebras can be big.
Rémi Arcadias
In that paper, we recall the notion of the multidegree for $D$-modules, as exposed in a previous paper, with a slight simplification. A particular emphasis is given on hypergeometric systems, used to provide interesting and computable examples.
Tamás Waldhauser
We determine all majority operations on a four-element set that generate a minimal clone.
J. R. Guest, N. D. Scielzo, I. Ahmad et al.
Keqin Liu
We introduce the notion of a Lie-like algebra$^{\diamond}$ (superalgebra$^{\diamond}$) for $\diamond\in\{^{1-st}, ^{2-nd}, ^{3-rd} \}$.
Jeno Szigeti, Leon van Wyk
We have results about the centralizer.
Philip Foth
We study analogues of classical inequalities for the eigenvalues of sums of pseudo-Hermitian matrices.
Wu Jing
We prove that Jordan elementary surjective maps on rings are automatically additive.
Donald W. Barnes
I show that an (n+2)-dimensional n-Lie algebra over an algebraically closed field must have a subalgeba of codimension 1.
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