E-resources
Peer reviewed
-
Tsybulya, L.M
Journal of mathematical sciences (New York, N.Y.), 01/2023, Volume: 269, Issue: 4Journal Article
In this paper, we consider the T-space structure of the relatively free Grassmann algebra F.sup.(3) without unity over an infinite field of prime and zero characteristic. Our work is focused on T-spaces W.sub.n generated by all n-words. A question about connections between W.sub.r and W.sub.n for different natural numbers r and n is investigated. The proved theorem on these connections allows us to construct the diagrams of inclusions that, to some extent, clarify the structure of the algebra: the basic T-spaces produce infinite strictly descending chains of inclusions in the algebra F.sup.(3).
