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On ℤ p -graded identities and cocharacters of the Grassmann algebra.

Authors :
Mario Di Vincenzo, Onofrio
Koshlukov, Plamen
Ribeiro Tomaz Da Silva, Viviane
Source :
Communications in Algebra; 2017, Vol. 45 Issue 1, p343-356, 14p
Publication Year :
2017

Abstract

Letpbe an odd prime number,Fa field of characteristic zero, and letEbe the unitary Grassmann algebra generated by the infinite-dimensionalF-vector spaceL. We determine the bases of the ℤp-graded identities.Moreover we compute the ℤp-graded codimension and cocharacter sequences for the algebraEendowed with any ℤp-grading such thatLis a homogeneous subspace. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00927872
Volume :
45
Issue :
1
Database :
Complementary Index
Journal :
Communications in Algebra
Publication Type :
Academic Journal
Accession number :
118710272
Full Text :
https://doi.org/10.1080/00927872.2016.1175456