Theorems on equalization and monomiality in a relatively free Grassmann algebra

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 $k\langle1,x_1,\dots,x_i,\dots\rangle/([[x_1,x_2],x_3])^T$ over an infinite field $k$ of characteristic $p>2$. Additionally, some specifics of the case $p=2$ are considered.