Nichtkommutative Algebra

  title={Nichtkommutative Algebra},
  author={Emmy Noether},
  journal={Mathematische Zeitschrift},
Lie properties in associative algebras
Abstract For a field K containing 1 2 , we exhibit two matrices in the full n Ɨ 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
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
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
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’ž formed by a classā€¦ Expand
On the structure of crossed products of groups and simple rings
Let K āˆ—G be a crossed product of the group G over the ring K with a factor set Ļ : G Ɨ G ā†’ U(K) and a map Ļƒ : G ā†’ Aut K, and let Gker = {g āˆˆ G | gĻƒ is inner} be the kernel of Ļƒ. If for some centralā€¦ Expand