2 citations · 10 across the 26 of their papers we have counts for
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The Dynkin-Specht-Wever lemma and some associated constructions
Gyula Lakos
In the first part of the paper, some extensions of the classical Dynkin-Specht-Wever lemma are developed. In the second part, we extend Burgunder's splitting construction, and rela…
The symmetric Poincaré-Birkhoff-Witt theorem and Dynkin-Magnus commutators
Gyula Lakos
The objective of this paper is to give alternative proofs for the symmetric Poincaré-Birkhoff-Witt theorem utilizing the Magnus recursion formulae or Dynkin's non-commutative polyn…
Some proofs of the Poincaré-Birkhoff-Witt theorem and related matters
Gyula Lakos
This expository paper focuses on free Lie -algebras and the basic PBW theorem. We argue in various ways that the basic PBW theorem is a quite close consequence of the Magnus-Wit…
Factorization of Laurent series over commutative rings
Gyula Lakos
We generalize the Wiener-Hopf factorization of Laurent series to more general commutative coefficient rings, and we give explicit formulas for the decomposition. We emphasize the a…
Spectral calculations in rings
Gyula Lakos
We examine the validity of certain spectral integral formulas in topological rings. We consider the sign and square-root functions in polymetric rings containing . It turn…