27 citations · 36 across the 6 of their papers we have counts for
4 papers · 1 filter
Von-Neumann finiteness and reversibility in some classes of non-associative algebras
Erik Darpö, Patrik Nystedt
We investigate criteria for von-Neumann finiteness and reversibility in some classes of non-associative algebras. We show that all finite-dimensional alternative algebras, as well…
Inversion and quasigroup identities in division algebras
Erik Darpö, José Maria Pérez Izquierdo
The present article is concerned with division algebras that are structurally close to alternative algebras, in the sense that they satisfy some identity or other algebraic propert…
The double sign of a real division algebra of finite dimension greater than one
Erik Darpö, Ernst Dieterich
For any real division algebra A of finite dimension greater than one, the signs of the determinants of left multiplication and right multiplication by a non-zero element are shown…
Classification of the four-dimensional power-commutative real division algebras
Erik Darpö, Abdellatif Rochdi
A classification of all four-dimensional power-commutative real division algebras is given. It is shown that every four-dimensional power-commutative real division algebra is an is…