ON CUBIC RINGS AND QUATERNION RINGS In this paper, we
... In this paper, we show that the orbits of some simple group actions parametrize cubic rings and quaternion rings. Let R be either a local ring or a principal ideal domain. A cubic ring A over R is, by definition, a commutative, associative R-algebra with unit, which is free of rank 3 as an R-module. ...
... In this paper, we show that the orbits of some simple group actions parametrize cubic rings and quaternion rings. Let R be either a local ring or a principal ideal domain. A cubic ring A over R is, by definition, a commutative, associative R-algebra with unit, which is free of rank 3 as an R-module. ...
