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-Spaces of n-Words in a Relatively Free Grassmann Algebra without Unit in Characteristic 2.

Authors :
Tsybulya, L. M.
Source :
Mathematical Notes. May2020, Vol. 107 Issue 5/6, p1014-1022. 9p.
Publication Year :
2020

Abstract

In the paper, we continue the study of the relatively free Grassmann algebra without unit over an infinite field of characteristic 2, which was initiated in previous works of the author. The main attention is paid here to the relationship between the -spaces of n-words, i.e., the -spaces generated by all monomials in containing each of their variables with multiplicity n. The results of this note will enable one to form a more complete picture of possible inclusions between the -spaces of r-and n-words for r > n. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00014346
Volume :
107
Issue :
5/6
Database :
Academic Search Index
Journal :
Mathematical Notes
Publication Type :
Academic Journal
Accession number :
144219951
Full Text :
https://doi.org/10.1134/S0001434620050338