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- Institute for Nuclear Research and Nuclear EnergyBG31 papers
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- Georgi Nadjakov Institute of Solid State PhysicsBG2 papers
- University of PalermoIT2 papers
- Bulgarian Research and Education NetworkBG1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Charles Darwin UniversityAU1 paper
- Chinese University of Hong KongHK1 paper
- Ghent UniversityBE1 paper
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6 papers · 1 filter
Degree estimate for commutators
Vesselin Drensky, Jie-Tai Yu
Let K<X> be a free associative algebra over a field K of characteristic 0 and let each of the noncommuting polynomials f,g generate its centralizer in K<X>. Assume that the leading…
Class field theory for strictly quasilocal fields with Henselian discrete valuations
I. D. Chipchakov
The paper establishes a relationship between finite separable extensions and norm groups of strictly quasilocal fields with Henselian discrete valuations, which yields a generally…
Defining Relations of Noncommutative Trace Algebra of Two Matrices
Francesca Benanti, Vesselin Drensky
The noncommutative (or mixed) trace algebra is generated by generic matrices and by the algebra generated by all traces of products of generic mat…
Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras
Vesselin Drensky, C. K. Gupta
In commutative algebra, a Weitzenböck derivation is a nonzero triangular linear derivation of the polynomial algebra in several variables over a field of chara…
Automorphisms fixing a variable of K<x,y,z>
Vesselin Drensky, Jie-Tai Yu
We study automorphisms of the free associative algebra K<x,y,z> over a field K which fix z and such that the images of x, y are linear with respect to x, y. We prove that some of t…
Defining relations of invariants of two 3 \times 3 matrices
Helmer Aslaksen, Vesselin Drensky, Liliya Sadikova
Over a field of characteristic 0, the algebra of invariants of several matrices under simultameous conjugation by is generated by traces of products of generic m…