In this paper we study Cohen-Macaulay local rings of dimension d, multiplicity e and second Hilbert coefficient e2 in the case e2=e1−e+1. Let h=μ(m)−d. If e2≠0 then our can prove that type(A)≥e−h−1. type(A)=e−h−1 show associated graded ring G(A) is Cohen-Macaulay. next when type(A)=e−h determine all possible series A. depthG(A) completely determines Series

conclusions this study provided conserved b-cell epitopes and peptides that can be useful for designing entry inhibitors and vaccines able to cover a global population, especially where genotype 5a is common. results differences in the probability of glycosylation in e1 and e2 regions were observed in this study. three conserved antigenic b-cell epitopes were predicted in the e2 regions and als...

Abstract Ubiquitination is an important modification process in eukaryotic organisms, and ubiquitin ligase (E3) the most diversified component of this system. APIP6 (AvrPiz-t interacting protein 6) one E3s rice, involved recognition AvrPiz-t, effector from pathogen Magnaporthe oryzae , for initiation host defense against M. . However, structural detail how performs its function remains elusive....

The present paper introduces new classes of Stancu–Kantorovich operators constructed in the King sense. For these operators, we establish some convergence results, error estimations theorems and graphical properties approximation for considered, namely, that preserve test functions e0(x)=1 e1(x)=x, e2(x)=x2, as well e1(x)=x e2(x)=x2. class e2(x)=x2 is a genuine generalization introduced by Indr...

background: it is reasonable to think that some biochemical characteristics of follicular fluid (ff) surrounding the oocyte may play a critical role in determining the quality of oocyte and the subsequent potential needed to achieve fertilization and embryo development. objective: this study was carried out to evaluate the levels of ff homocysteine (hcy) in ivf candidate polycystic ovary syndro...

background: the uterus is a dynamic tissue responding to hormonal changes during reproductive cycles. as such, uterine stem cells have been studied in recent years. transcription factors oct4 and sox2 are critical for effective maintenance of pluripotent cell identity. objective: the present research evaluated the mrna expression of oct4 and sox2 in the uterine tissues of ovariectomized mice tr...