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Constants are definable in rings of analytic functions [PDF]
Proceedings of the American Mathematical Society, 1994 The analytic functions defined in a fixed domain form a ring with pointwise addition and multiplication. We describe a way to define constants in the ring using a first-order formula which is independent of the domain.
Taneli Huuskonen
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A characterization of p-bases of rings of constants [PDF]
Open Mathematics, 2013 Abstract We obtain two equivalent conditions for m polynomials in n variables to form a p-basis of a ring of constants of some polynomial K-derivation, where K is a unique factorization domain of characteristic p > 0. One of these conditions involves Jacobians while the other some properties of factors.
Jędrzejewicz Piotr
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Branching rules in the ring of superclass functions of unipotent upper-triangular matrices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 It is becoming increasingly clear that the supercharacter theory of the finite group of unipotent upper-triangular matrices has a rich combinatorial structure built on set-partitions that is analogous to the partition combinatorics of the classical ...
Nathaniel Thiem
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Dependence on dimension of a constant related to the Grötzsch ring [PDF]
Proceedings of the American Mathematical Society, 1976 For the constant λ n = lim a → 0 ( mod R G , n ( a )
G. D. Anderson
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Irreducible Jacobian derivations in positive characteristic
Open Mathematics, 2014 We prove that an irreducible polynomial derivation in positive characteristic is a Jacobian derivation if and only if there exists an n-1-element p-basis of its ring of constants. In the case of two variables we characterize these derivations in terms of
Jędrzejewicz Piotr
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On the ring of constants for derivations of power series rings in two variables [PDF]
Colloquium Mathematicum, 2001 Summary: Let \(k[[x,y]]\) be the formal power series ring in two variables over a field \(k\) of characteristic zero and let \(d\) be a non-zero derivation of \(k[[x,y]]\). We prove that if \(\text{Ker}(d)\neq k\) then \(\text{Ker}(d) = \text{Ker}(\delta)\), where \(\delta\) is a Jacobian derivation of \(k[[x,y]]\).
Leonid Makar-Limanov, Andrzej Nowicki
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Structure constants for Hecke and representation rings
International Mathematics Research Notices, 2003 We study the structure constants defining two related rings: the spherical Hecke algebra of a split connected reductive group over a non-Archimedean local field, and the representation ring of the Langlands dual group.
Thomas J. Haines
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Prime rings with PI rings of constants [PDF]
Israel Journal of Mathematics, 1996 20 pages, LaTex2e, to appear in Israel Journal of Mathematics, volume 96, part B, 1996 (357-377)
V. K. Kharchenko +2 more
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Dynamical black rings with a positive cosmological constant [PDF]
Physical Review D, 2009 11 pages, 16 figures, references ...
Masashi Kimura
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Rate Constant for the Ring Opening of the 2,2-Difluorocyclopropylcarbinyl Radical [PDF]
Organic Letters, 2000 The rate constant for the unimolecular ring opening of the 2,2-difluorocyclopropylcarbinyl radical was determined via its competitive bimolecular trapping by TEMPO. The value of this rate constant (3.4 x 10(11) s(-)(1) at 99.3 degrees C) is about 500 times larger than that of the parent, unfluorinated radical and about 5 times smaller than that of the ...
Feng Tian, William R. Dolbier
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