On the symmetric polynomials in the variety of Grassmann algebras

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Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Volume:14 Issue:3
On the symmetric polynomials in the variety of Grassmann algebras

On the symmetric polynomials in the variety of Grassmann algebras

Authors : Nazan AKDOĞAN

Pages : 907-913

Doi:10.18185/erzifbed.732117

View : 34 | Download : 15

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

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