The fourteenth problem of Hilbert for polynomial derivations
, 2002 We present some facts, observations and remarks concerning the problem of finiteness of the rings of constants for derivations of polynomial rings over a commutative ring k containing the field Q of rational numbers. 1.
A. Nowicki
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Solutions of linear differential equations in function fields of one variable
, 1976 Formal power series techniques are used to investigate the algebraic relationships between a function satisfying a linear differential equation and its derivatives. We are able to derive some conclusions, among them that an elliptic function satisfies no
M. Singer
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Remarks on the intrinsic inverse problem
, 2002 The intrinsic differential Galois group is a twisted form of the standard differential Galois group, defined over the base differential field. We exhibit several constraints for the inverse problem of differential Galois theory to have a solution in this
D. Bertrand
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Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
Open MathematicsThe article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
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First order differential closures of certain partially ordered fields
, 1974 First order algebraic differential equations (a.d.e.'s) are considered in the setting of an abstract differential field with an abstract order relation, whose properties mirror those of the usual asymptotic dominance relations of analysis.
Joseph E. Turcheck
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The equation of Ramanujan-Nagell and [²]
, 1973 By arithmetizing Levi's constructive testformembership in [y2] we have translated the questions of whether a given power product is in [y2] to determining whether a certain product of matrices is the zero matrix.
D. G. Mead
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Streamlining SARS-CoV-2 confirmatory testing to reduce false positive results. [PDF]
J Clin Virol, 2021 Wilson MJ +8 more
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Thermal Acclimation to the Highest Natural Ambient Temperature Compromises Physiological Performance in Tadpoles of a Stream-Breeding Savanna Tree Frog. [PDF]
Front Physiol, 2021 Longhini LS +7 more
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Rings of constants of four-variable Lotka-Volterra systems
Open Mathematics, 2013 Zieliński Janusz
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Triviality of differential Galois cohomology of linear differential algebraic groups. [PDF]
Commun Algebra, 2019 Minchenko A, Ovchinnikov A.
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