#### 5 Citations

Lie properties in associative algebras

- Mathematics
- Journal of Algebra
- 2021

Abstract For a field K containing 1 2 , we exhibit two matrices in the full n Ć n matrix algebra M n ( K ) which generate M n ( K ) as a Lie K-algebra with the commutator Lie product. We also studyā¦ Expand

Germ\'an Ancochea's work on projectivities, harmonicity preservers and semi-homomorphisms

- Mathematics
- 2020

Our main aim is to analyse three articles of German Ancochea (published 1941, 1942 and 1947) and to describe their impact in algebra and geometry.

Algorithmic construction of representations of finite solvable groups

- Mathematics
- 2018

The dominant theme of this thesis is the construction of matrix representations of finite solvable groups using a suitable system of generators. For a finite solvable group $G$ of order $N =ā¦ Expand

Trace Invariants of Finite-Dimensional Algebras

- Mathematics
- 2016

With every finite-dimensional algebra A over any field k we associate an 8-tuple of linear or bilinear forms on A, all of which are defined in terms of traces. For every groupoid š formed by a classā¦ Expand

On the structure of crossed products of groups and simple rings

- 2005

Let K āG be a crossed product of the group G over the ring K with a factor set Ļ : G Ć G ā U(K) and a map Ļ : G ā Aut K, and let Gker = {g ā G | gĻ is inner} be the kernel of Ļ. If for some centralā¦ Expand