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Locally nilpotent derivations and their rings of constants. [PDF]

, 2001
Given a UFD R containing Q , we study R-elementary derivations of B = R[Y1,..., Ym], i.e., R-derivations satisfying D( Yi) ∈ R for all i; in the particular case of m = 3, we will show that if R is a polynomial ring in n variables over a field k (of characteristic zero), and a1, a3, a3 ∈ R are three monomials, then the kernel of the derivation i=13ai6 ...
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A Note on Constants of Integral Derivations in Semiprime Rings

Communications in Algebra, 2013
Let R be a semiprime ring with extended centroid C and with Q its Martindale symmetric ring of quotients. Suppose that δ: R → R is a C-integral derivation. For a subring A of Q, let A(δ) denote the subring of constants of δ in A. We prove that R(δ) and Q(δ) satisfy the same polynomial identities with coefficients in C. In particular, R(δ) is not nil of
Tsiu-Kwen Lee, Yen-Jen Chen
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Dissociation constants of thiophencarboxylic acids: calculation of ? constants for the thiophen ring

Journal of the Chemical Society B: Physical Organic, 1970
Dissociation constants for a number of substituted thiophen-5-carboxylic acids have been determined and used to evaluate σ constants for the thiophen molecule. The values obtained are in excellent agreement with those calculated by the method of Dewar and Grisdale and indicate that the sulphur atom has very little effect upon the transmission of ...
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Catalytic Enantioselective Ring-Opening Reactions of Cyclopropanes

Chemical Reviews, 2021
Vincent Pirenne, Bastian Muriel, Jerome Waser +2 more
exaly

C–C Bond Cleavages of Cyclopropenes: Operating for Selective Ring-Opening Reactions

Chemical Reviews, 2021
Rubén Vicente
exaly

The principles, design and applications of fused-ring electron acceptors

Nature Reviews Chemistry, 2022
Jiayu Wang, Xiaowei Zhan
exaly

A Forgotten Tree Ring Record [PDF]