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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.
Piotr Jędrzejewicz
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Rings of constants of polynomial derivations and p-bases [PDF]
, 2013 We present a survey of results concerning p-bases of rings of constants with respect to polynomial derivations in characteristic p > 0. We discuss characterizations of rings of constants, properties of their generators and a general characterization of their p-bases. We also focus on some special cases: one-element p-bases, eigenvector p-bases and when
Jędrzejewicz, Piotr
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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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Lech-Mumford constant and stability of local rings [PDF]
106 pages, comments are ...
Linquan Ma, Ilya Smirnov
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Quasi‐Constant Time Gap in Multiple Rings of Elves [PDF]
Earth and Space ScienceAbstract We present evidence that the time delay between the multiple rings of elves is not caused by the ground reflection of the electromagnetic pulse produced by intracloud lightning. To investigate temporal differences of multi‐elves, we analyzed data from four storms occurring at various times and distances from the Pierre Auger ...
The Pierre Auger Collaboration
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Constrained dynamics of a polymer ring enclosing a constant area [PDF]
Physical Review E, 2005 6 ...
Arti Dua, Thomas A. Vilgis
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Existence of Erd\H{o}s-Burgess constant in commutative rings [PDF]
, 2020 Let $R$ be a commutative unitary ring. An idempotent in $R$ is an element $e\in R$ with $e^2=e$. The Erd s-Burgess constant associated with the ring $R$ is the smallest positive integer $\ell$ (if exists) such that for any given $\ell$ elements (not necessarily distinct) of $R$, say $a_1,\ldots,a_{\ell}\in R$, there must exist a nonempty subset $J ...
Guoqing Wang
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Rings of constants of linear derivations on Fermat rings [PDF]
Communications in Algebra, 2018 In this paper we characterize all the linear $\mathbb{C}$-derivations of the Fermat ring. We show that the Fermat ring has linear $\mathbb{C}$-derivations with trivial ring of constants and construct some examples.
Veloso, Marcelo Oliveira +1 more
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Rings of constants of generic 4D Lotka-Volterra systems [PDF]
Czechoslovak Mathematical Journal, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zieliński, Janusz, Ossowski, Piotr
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Prime rings with PI rings of constants
Israel Journal of Mathematics, 1996 20 pages, LaTex2e, to appear in Israel Journal of Mathematics, volume 96, part B, 1996 (357-377)
Kharchenko, V. K. +2 more
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