On the G-quadratic and LG-quadratic of the Exterior Algebra and Associated Algebra
Initial ideal
Exterior algebra
Associated algebra
G-quadratic
LG-quadratic
Given an exterior algebra over a finite dimension vector space v, and let , where is a graded ideal in . The relation between the algebra and regarding to -quadratic and - quadratic will be investigated. We show that the algebra is - quadratic if and only if is - quadratic. Furthermore, it has been shown that the algebra is - quadratic if and only if is - quadratic.
