Grassmann cebirleri sınıfında simetrik polinomlar üzerine

Year 2021, Volume: 14 Issue: 3, 907 - 913, 18.12.2021

Nazan Akdoğan

https://doi.org/10.18185/erzifbed.732117

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.

On the symmetric polynomials in the variety of Grassmann algebras

Abstract

𝐾 karakteristiği sıfır olan bir cisim ve 𝐿, Grassmann cebirleri tarafından üretilen varyetede, 𝐾 cismi üzerinde rankı 2 olan birleşmeli cebir olsun. Bu çalışmada, 𝐿 cebirinin 𝐿𝑆2 simetrik polinomlar alt cebiri incelenmiş ve 𝐿𝑆2 için sonlu bir üreteç kümesi verilmiştir.

Keywords

PI-algebra, Grassmann algebras, symmetric polynomial

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