Search Results - "Vavilov, N"

Toward the Reverse Decomposition of Unipotents. II. The Relative Case by Vavilov, N.

“…Recently, Raimund Preusser displayed very short polynomial expressions of elementary generators in classical groups over an arbitrary commutative ring as…”
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Commutators of Congruence Subgroups in the Arithmetic Case by Vavilov, N.

“…In a joint paper of the author with Alexei Stepanov, it was established that for any two comaximal ideals A and B of a commutative ring R, A + B = R, and any n…”
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Computers as a Novel Mathematical Reality: I. A Personal Account by Vavilov, N. A.

“…Much ink has been spilled in the last few decades on computer proofs, computer-assissted proofs, computer-verified proofs, etc. It is obvious that the advent…”
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Computers As a Novel Mathematical Reality: IV. The Goldbach Problem by Vavilov, N. A.

“…In this part I pursue the discussion of the role of computers in additive number theroy. I sketch the definitive solution of the ternary = odd Goldbach…”
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Computers As a Novel Mathematical Reality: II. Waring’s Problem by Vavilov, N. A.

“…In this part I discuss the role of computers in the current research on additive number theory, in particular, in the solution of the classical Waring problem…”
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Computers As a Novel Mathematical Reality: III. Mersenne Numbers and Sums of Divisors by Vavilov, N. A.

“…Nowhere in mathematics is the progress resulting from the advent of computers as apparent as in the additive number theory. In this part, we describe the role…”
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St. Petersburg School of Linear Groups: II. Early Works by Suslin by Vavilov, N. A.

“…The present survey describes the contribution of St. Petersburg mathematicians to the theory of linear, classical, and algebraic groups. The second part is…”
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Saint Petersburg School of the Theory of Linear Groups. I. Prehistory by Vavilov, N. A.

“…The present survey describes the contribution of St. Petersburg mathematicians to the development of the theories of linear, classical, and algebraic groups…”
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COMMUTATORS OF ELEMENTARY SUBGROUPS: CURIOUSER AND CURIOUSER by VAVILOV, N., ZHANG, Z.

“…Let R be any associative ring with 1, n ≥ 3, and let A , B be two-sided ideals of R . In our previous joint works with Roozbeh Hazrat [17], [15], we have found…”
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Commutators of Relative and Unrelative Elementary Groups, Revisited by Vavilov, N., Zhang, Z.

“…Let R be any associative ring with 1, let n ≥ 3, and let A,B be two-sided ideals of R. In the present paper, we show that the mixed commutator subgroup…”
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Unrelativized Standard Commutator Formula by Vavilov, N. A.

“…In the present note, which is a marginalia to the previous papers by Roozbeh Hazrat, Alexei Stepanov, Zuhong Zhang, and the author, I observe that for any…”
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Relative Centralizers of Relative Subgroups by Vavilov, N. A., Zhang, Z.

“…Let R be an associative ring with 1 and G = GL( n , R ) the general linear group of degree n ≥ 3 over R . A goal of the paper is to calculate the relative…”
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Towards the Reverse Decomposition of Unipotents by Vavilov, N. A.

“…Decomposition of unipotents gives short polynomial expressions of the conjugates of elementary generators as products of elementaries. It turns out that with…”
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Decomposition of Unipotents for E6 and E7: 25 Years After by Vavilov, N. A.

“…In this paper I sketch two new variations of the method of decomposition of unipotents in the microweight representations (E 6 ,ϖ 1 ) and (E 7 ,ϖ 7 ). To put…”
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The Skies Are Falling: Mathematics for Non-Mathematicians by Vavilov, N. A., Khalin, V. G., Yurkov, A. V.

“…Mathematical education, both mass education, and university education of non-mathematicians, are in an abominable state, and rapidly degrading. We argue that…”
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Multiple commutator formulas for unitary groups by Hazrat, R., Vavilov, N., Zhang, Z.

“…Let ( A ,Λ) be a formring such that A is quasi-finite R -algebra (i.e., a direct limit of module finite algebras) with identity. We consider the hyperbolic…”
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The Commutators of Classical Groups by Hazrat, R., Vavilov, N., Zhang, Z.

“…In his seminal paper, half a century ago, Hyman Bass established commutator formulas for a (stable) general linear group, which were the key step in defining…”
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Quantitative changes of brain isatin-binding proteins of rats with the rotenone-induced experimental parkinsonism by Buneeva, O A, Kapitsa, I G, Kazieva, L Sh, Vavilov, N E, Zgoda, V G

“…Isatin (indoldione-2,3) is an endogenous regulator found in humans and animals. It exhibits a broad range of biological activity mediated by numerous…”
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On the Political Aspects of Development of the System of State and Municipal Management in Ukraine by Vavilov, A. N.

“…The article examines the history of the formation and reform of the system of state and municipal administration in Ukraine. In the conditions when the…”
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Characteristics of behavioral reactions and the profile of brain isatin-binding proteins of rats with the rotenone-induced experimental parkinsonism by Kapitsa, I G, Kazieva, L Sh, Vavilov, N E, Zgoda, V G, Kopylov, A T, Medvedev, A E, Buneeva, O A

“…The neurotoxins rotenone and 1-methyl-4-phenyl-1,2,3,6-tetrahydropyridine (МPTP) are used for modeling Parkinson's disease in animals (PD). They induce the…”
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