For an odd prime $ p and positive integers m \ell $, let \mathbb{F}_{p^m} be the finite field with p^{m} elements R_{\ell,m} = \mathbb{F}_{p^m}[v_1,v_2,\dots,v_{\ell}]/\langle v^{2}_{i}-1, v_{i}v_{j}-v_{j}v_{i}\rangle_{1\leq i, j\leq \ell} $. Thus is a commutative non-chain ring of order p^{2^{\ell} m} characteristic In this paper, we aim to construct quantum codes from skew constacyclic over F...

Let $S$ be an inverse semigroup and let $E$ be its subsemigroup of idempotents. In this paper we define the $n$-th module cohomology group of Banach algebras and show that the first module cohomology group $HH^1_{ell^1(E)}(ell^1(S),ell^1(S)^{(n)})$ is zero, for every odd $ninmathbb{N}$. Next, for a Clifford semigroup $S$ we show that $HH^2_{ell^1(E)}(ell^1(S),ell^1(S)^{(n)})$ is a Banach sp...

Using existing data from several locations across the U.S., this study examined the impact of students’ language background on the outcome of achievement tests. The results of the analyses indicated that students’ assessment results might be confounded by their language background variables. English language learners (ELLs) generally perform lower than non-ELL students on reading, science, and ...

Let $\ell$ be a prime number, $F$ global function field of characteristic $\ell$. Assume that there is $P_\infty$ degree $1$. $\mathcal{O}_F$ the ring functions in with no poles outside $\{P_\infty\}$. We study solutions to Catalan's equation $X^m-Y^n=1$ over and show under certain additional conditions, are non-constant which lie $\mathcal{O}_F$, when $m,n>1$.

We consider rational integrable supersymmetric $${\mathfrak {\mathfrak {gl}}_{{{\mathsf {m}}}|{{\mathsf {n}}}}}$$ spin chains in the defining representation and prove isomorphism between a commutative algebra of conserved charges (the Bethe algebra) polynomial ring Wronskian defined by functional relations Baxter Q-functions that we call equations. These equations, contrast to standard nested a...

This study seeks to identify the characteristics and training experiences of teachers who are differentially effective at promoting academic achievement among English language learners (ELLs). Our analyses indicate that general skills such as those reflected by scores on teacher certification exams and experience teaching non-ELL students are less predictive of achievement for ELL students than...

Increasing evidence supports that ELL (eleven-nineteen lysine-rich leukaemia) is a key regulator of transcriptional elongation, but the physiological function of Ell in mammals remains elusive. Here we show that ELL functions as an E3 ubiquitin ligase and targets c-Myc for proteasomal degradation. In addition, we identify that UbcH8 serves as a ubiquitin-conjugating enzyme in this pathway. Cyst...

The (11;19)(q23;p13.1) translocation in acute leukemia results in the formation of an MLL-ELL fusion protein. ELL is an RNA polymerase II elongation factor that interacts with the recently identified EAF1 protein. To characterize the normal functions of ELL and its aberrant activities when fused to MLL, we isolated a second protein that interacts with ELL named EAF2 for ELL Associated Factor 2....

The eleven-nineteen lysine-rich leukemia (ELL) gene undergoes translocation and fuses in-frame to the multiple lineage leukemia gene in a substantial proportion of patients suffering from acute forms of leukemia. Studies show that ELL indirectly modulates transcription by serving as a regulator for transcriptional elongation as well as for p53, U19/Eaf2, and steroid receptor activities. Our in ...

The (11;19)(q23;p13.1) translocation in acute leukemia leads to the generation of a chimeric protein that fuses MLL to the transcriptional elongation factor ELL. A novel protein was isolated from a yeast 2-hybrid screen with ELL that was named EAF1 for ELL-associated factor 1. Using specific antibodies, the endogenous EAF1 and ELL proteins were coimmunoprecipitated from multiple cell lines. In ...