Duality for Ideals in the Grassmann Algebra Original Research Article

A duality is established between left and right ideals of a finite dimensional Grassmann algebra such that if under the duality a left ideal image and a right idealJcorrespond then image is the left annihilator ofJandJthe right annihilator of image. Another duality is established for two-sided ideals of the Grassmann algebra where two ideals that correspond are annihilators of each other. The dual of the principal ideal generated by an exterior 2-form is completely determined.