27 citations · 36 across the 6 of their papers we have counts for
7 papers
Periodic trivial extension algebras and fractionally Calabi-Yau algebras
Aaron Chan, Erik Darpö, Osamu Iyama +1
We study periodicity and twisted periodicity of the trivial extension algebra of a finite-dimensional algebra . Our main results show that (twisted) periodicity of …
d-Representation-finite self-injective algebras
Erik Darpö, Osamu Iyama
In this paper, we initiate the study of higher-dimensional Auslander-Reiten theory of self-injective algebras. We give a systematic construction of (weakly) -representation-fini…
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 Loewy length of a tensor product of modules of a dihedral two-group
Erik Darpö, Christopher C. Gill
While the finite-dimensional modules of the dihedral 2-groups over fields of characteristic 2 were classified over 30 years ago, very little is known about the tensor products of s…
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…