Normal structure of the full linear group over a semilocal ring

1982 ◽  
Vol 19 (1) ◽  
pp. 998-999 ◽  
Author(s):  
N. A. Vavilov ◽  
L. Yu. Kolotilina
Author(s):  
D. G. Arrell ◽  
E. F. Robertson

SynopsisIn this paper we show that some of Bass' results on the normal structure of the stable general linear group can be extended to infinite dimensional linear groups over non-commutative Noetherian rings.


1987 ◽  
Vol 37 (2) ◽  
pp. 935-937
Author(s):  
Z. I. Borevich ◽  
N. A. Vavilov
Keyword(s):  

Author(s):  
G. C. Ruben ◽  
K. Iqbal ◽  
I. Grundke-Iqbal ◽  
H. Wisniewski ◽  
T. L. Ciardelli ◽  
...  

In neurons, the microtubule associated protein, tau, is found in the axons. Tau stabilizes the microtubules required for neurotransmitter transport to the axonal terminal. Since tau has been found in both Alzheimer neurofibrillary tangles (NFT) and in paired helical filaments (PHF), the study of tau's normal structure had to preceed TEM studies of NFT and PHF. The structure of tau was first studied by ultracentrifugation. This work suggested that it was a rod shaped molecule with an axial ratio of 20:1. More recently, paraciystals of phosphorylated and nonphosphoiylated tau have been reported. Phosphorylated tau was 90-95 nm in length and 3-6 nm in diameter where as nonphosphorylated tau was 69-75 nm in length. A shorter length of 30 nm was reported for undamaged tau indicating that it is an extremely flexible molecule. Tau was also studied in relation to microtubules, and its length was found to be 56.1±14.1 nm.


2020 ◽  
Vol 25 (4) ◽  
pp. 10-15
Author(s):  
Alexander Nikolaevich Rybalov

Generic-case approach to algorithmic problems was suggested by A. Miasnikov, I. Kapovich, P. Schupp and V. Shpilrain in 2003. This approach studies behavior of an algo-rithm on typical (almost all) inputs and ignores the rest of inputs. In this paper, we prove that the subset sum problems for the monoid of integer positive unimodular matrices of the second order, the special linear group of the second order, and the modular group are generically solvable in polynomial time.


Author(s):  
Ю.И. Шрамко ◽  
А.В. Кубышкин ◽  
А.А. Давыдова ◽  
И.И. Фомочкина ◽  
Л.Л. Алиев ◽  
...  

Цель работы состояла в изучении влияния полифенолов винограда на органы-мишени при экспериментальном метаболическом синдроме у крыс. Методы. В течение 12 недель полифенолы винограда применялись у крыс линии Вистар. Все крысы находились на стандартном рационе. Животные были разделены на 6 групп: 1-я контрольная получала питьевую воду; 2-я контрольная и все 4 экспериментальные - 2,5% раствор фруктозы в качестве питья. 1-я экспериментальная группа дополнительно получала препарат «Фэнокор» с суммарным содержанием полифенолов 181,53 г/дм, 2-я экспериментальная - виноматериал с суммарным содержанием полифенолов 1,73 г/дм; 3-я экспериментальная - виноматериал с суммарным содержанием полифенолов 4,33 г/дм и 4-я экспериментальная - виноматериал с суммарным содержанием полифенолов 8,58 г/дм. После окончания опыта у крыс проводили морфологические исследования висцеральной жировой ткани, тканей миокарда и печени. Результаты. Анализ результатов показал, что применение полифенольных продуктов переработки винограда в концентрациях 181,53 г/дм при моделировании метаболического синдрома приводило к минимизации морфофункциональных нарушений в висцеральной жировой ткани (уменьшение интенсивности лимфоплазмоцитарной инфильтрации), миокарде (мышечные волокна имели типичное строение и адипоциты между ними встречались лишь очагово) и печени (имелись лишь слабые очаговые дистрофические изменения гепатоцитов). Заключение. Результаты работы свидетельствуют о возможности применения виноматериалов с наибольшей концентрацией полифенолов и препарата «Фэнокор» в коррекции и профилактике поражений при метаболическом синдроме. The aim of this work was to study the effect of grape polyphenols on target organs in rats with experimental metabolic syndrome. Methods. Grape polyphenols were used in Wistar rats for 12 weeks. All rats received a standard diet. The animals were divided into 6 groups: group 1, control, received drinking water; group 2, the second control, and four experimental groups received a 2.5% fructose solution for drinking. The first experimental group additionally received a drug, Fenocor, containing polyphenols at 181.53 g/dm; the second experimental group - wine material containing polyphenols at 1,73 g/dm; the third experimental group - wine material containing polyphenols at 4,33 g/dm; and the fourth experimental group - wine material containing polyphenols at 8,58 g/dm. At the end of experiment, morphological studies of visceral adipose tissue, myocardial tissue, and hepatic tissue were performed. Results. The treatment of rats with experimental metabolic syndrome with grape polyphenolic products at a concentration of 181.53 g/dm minimized morphological and functional disorders in visceral adipose tissue (intensity of lymphoplasmocytic infiltration was decreased), myocardium (muscle fibers had normal structure with only occasional adipocytes between them), and liver (only slight focal degenerative changes were observed in hepatocytes). Conclusion. The study indicated a possibility of using wine materials with the highest concentration of polyphenols and the drug Fenocor for correction and prevention of damages in metabolic syndrome.


Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 116
Author(s):  
Qi Liu ◽  
Yongjin Li

In this paper, we will introduce a new geometric constant LYJ(λ,μ,X) based on an equivalent characterization of inner product space, which was proposed by Moslehian and Rassias. We first discuss some equivalent forms of the proposed constant. Next, a characterization of uniformly non-square is given. Moreover, some sufficient conditions which imply weak normal structure are presented. Finally, we obtain some relationship between the other well-known geometric constants and LYJ(λ,μ,X). Also, this new coefficient is computed for X being concrete space.


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