Abstract
In this paper, we consider the š-space structure of the relatively free Grassmann algebra š½(3) without unity over an infinite field of prime and zero characteristic. Our work is focused on š-spaces šn generated by all n-words. A question about connections between šr and šn 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 š-spaces produce infinite strictly descending chains of inclusions in the algebra š½(3).
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