Hom-associative Ore extensions
Abstract
We introduce hom-associative Ore extensions as non-associative, non-unital Ore extensions with a hom-associative multiplication, as well as give some necessary and sufficient conditions when such exist. Within this framework, we also construct a family of hom-associative Weyl algebras as generalizations of the classical analogue, and prove that they are simple.
- Publication:
-
Journal of Physics Conference Series
- Pub Date:
- February 2018
- DOI:
- 10.1088/1742-6596/965/1/012006
- Bibcode:
- 2018JPhCS.965a2006B