On the symmetric polynomials in the variety of Grassmann algebras

Authors : Nazan AKDOĞAN

Pages : 907-913

Doi:10.18185/erzifbed.732117

View : 9 | Download : 8

Publication Date : 2021-12-18

Article Type : Research Paper

Abstract :Let K be a field of characteristic zero, and L be the associative algebra of rank 2 over K, in the variety generated by Grassmann algebras. In this paper we study the subalgebra L^(S_2 ) of symmetric polynomials in the algebra L, and give a finite generating set for L^(S_2 ).
Keywords : PI cebiri, Grassmann cebirleri, simetrik polinom, PI cebiri, Grassmann cebirleri, simetrik polinom