Bedratyuk, Leonid (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 13N15, 13A50, 13F20. An analogue of the symbolic method of classical invariant theory for a representation and manipulation of the elements of the kernel of Weitzenböck derivations is developed.
Bedratyuk, Leonid (2009)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 13N15, 13A50, 16W25. We reduce the Nowicki conjecture on Weitzenböck derivations of polynomial algebras to a well known problem of classical invariant theory.
L. Makar-Limanov (2001)
Annales Polonici Mathematici
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In my talk I am going to remind you what is the AK-invariant and give examples of its usefulness. I shall also discuss basic conjectures about this invariant and some positive and negative results related to these conjectures.
Qimei Xiao, Wenjun Liu (2016)
Open Mathematics
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A quantale is a complete lattice equipped with an associative binary multiplication distributing over arbitrary joins. We define the notions of right (left, two) sided derivation and idempotent derivation and investigate the properties of them. It’s well known that quantic nucleus and quantic conucleus play important roles in a quantale. In this paper, the relationships between derivation and quantic nucleus (conucleus) are studied via introducing the concept of pre-derivation. ...
P. G. Dodds, E. M. Semenov, F. A. Sukochev (2002)
Studia Mathematica
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We present necessary and sufficient conditions for a rearrangement invariant function space to have a complete orthonormal uniformly bounded RUC system.
V. Losert, H. Rindler (1987)
Colloquium Mathematicae
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K. Beidar, Matej Brešar (2000)
Studia Mathematica
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The problem of when derivations (and their powers) have the range in the Jacobson radical is considered. The proofs are based on the density theorem for derivations.
John C. Morgan II (1975)
Colloquium Mathematicae
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Mircea Puta (1984)
Časopis pro pěstování matematiky
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Marek Karaś (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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We prove that every locally nilpotent monomial k-derivation of k[X₁,...,Xₙ] is triangular, whenever k is a ring of characteristic zero. A method of testing monomial k-derivations for local nilpotency is also presented.
Marek Jarnicki, Peter Pflug
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O. Bratteli, G. A. Elliott, P. E. T. Jorgensen (1984)
Journal für die reine und angewandte Mathematik
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David L. Johnson (1980)
Mathematische Annalen
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Jan von Plato (2017)
Bulletin of the Section of Logic
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The way from linearly written derivations in natural deduction, introduced by Jaskowski and often used in textbooks, is a straightforward root-first translation. The other direction, instead, is tricky, because of the partially ordered assumption formulas in a tree that can get closed by the end of a derivation. An algorithm is defined that operates alternatively from the leaves and root of a derivation and solves the problem.