Irreducible Jacobian derivations in positive characteristic
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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Branching rules in the ring of superclass functions of unipotent upper-triangular matrices [PDF]
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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A characterization of p-bases of rings of constants
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 UFD of characteristic p>0.
Jędrzejewicz Piotr
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Xylariaides A and B, novel cytochalasans with a unique 5/6/5/3 ring system from a soil fungus Xylaria sp. Y01 [PDF]
Two new cytochalasans, xylariaides A (1) and B (2), were isolated and identified from a soil fungus Xylaria sp. Y01. Their structures were unambiguously determined by extensive spectroscopic methods including high resolution electrospray ionization mass ...
Yi-Yun Yuan+5 more
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The broadband rotational spectrum of jet-cooled laser-ablated thioproline was recorded. Two conformers of this system were observed and identified with the help of DFT and ab initio computations by comparison of the observed and calculated rotational ...
Juan Carlos López+4 more
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Kinetic studies on the reaction between dicyanocobinamide and hypochlorous acid. [PDF]
Hypochlorous acid (HOCl) is a potent oxidant generated by myeloperoxidase (MPO), which is an abundant enzyme used for defense against microbes. We examined the potential role of HOCl in corrin ring destruction and subsequent formation of cyanogen ...
Dhiman Maitra+7 more
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A dual approach to structure constants for K-theory of Grassmannians [PDF]
The problem of computing products of Schubert classes in the cohomology ring can be formulated as theproblem of expanding skew Schur polynomial into the basis of ordinary Schur polynomials. We reformulate theproblem of computing the structure constants
Huilan Li, Jennifer Morse, Pat Shields
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Facile synthesis of vinyl esters of aromatic carboxylic acids with participation of 2-chloro-4,6-dimethoxy-1,3,5-triazine [PDF]
In this work, the reaction of derivatives of benzoic acid containing substituents in the aromatic ring (1a-o) with 2-chloro-4,6dimethoxy-1,3,5-triazine (4) in the presence of N-methylmorpholine (6) has been synthesized active triazine esters of ...
Parmanov A.+3 more
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The substituent effects on the 13c chemical shifts of the azomethine carbon atom of n-(phenyl substituted) salycilaldimines [PDF]
The Hammett correlations between 13C-NMR chemical shifts of the azomethine carbon atom and the corresponding substituent constants for thirtheen Schiff bases were established.
Drmanić Saša Ž.+3 more
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Rings of constants of polynomial derivations and p-bases [PDF]
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 ...
Jędrzejewicz, Piotr
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