## 9 Citations

### Hilbert's basis theorem and simplicity for non-associative skew Laurent polynomial rings and related rings

- Mathematics
- 2022

. We introduce non-associative skew Laurent polynomial rings over unital, non-associative rings and prove simplicity results for these. We also gen- eralize an already existing Hilbert’s basis…

### 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 =…

### 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 𝒞 formed by a class…

### On the structure of crossed products of groups and simple rings

- Mathematics
- 2005

Let K ∗G be a crossed product of the group G over the ring K with a factor set ρ : G × G → U(K) and a map σ : G → Aut K, and let Gker = {g ∈ G | gσ is inner} be the kernel of σ. If for some central…

### THE ACTIONS OF GROUPS AND LIE ALGEBRAS ON NON-COMMUTATIVE RINGS

- Mathematics
- 1980

Contents Introduction Chapter I. Group actions § 1. Galois theory § 2. Rings of invariants § 3. Identities in automorphisms Chapter II. Lie algebra actions § 4. The structure of Der R § 5.…

### Block Idempotents and Normal p-Subgroups

- MathematicsNagoya Mathematical Journal
- 1966

In the theory of modular representations of a finite group G in an algebraically closed field Ω of characteristic p, Brauer has proved a useful reduction theorem for blocks [2, §§11, 12], [5,…