FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 5, PAGES 197-218

Theorems on equalization and monomiality in a relatively free Grassmann algebra

L. M. Tsybulya

Abstract

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In this paper, we prove theorems on equalization and monomiality, which are essential for developing the structural theory of T-spaces in a relatively free algebra $k$á1,x₁,...,x_i,¼ñ/([[x₁,x₂],x₃])^T over an infinite field $k$ of characteristic $p\; >\; 2$. Additionally, some specifics of the case $p\; =\; 2$ are considered.

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Last modified: May 7, 2009