On the multiplicative and T-space structure of the relatively free Grassmann algebra
Journal Article
·
· Sbornik. Mathematics
- Moscow State Pedagogical University, Moscow (Russian Federation)
We investigate the multiplicative and T-space structure of the relatively free algebra F{sup (3)} with unity corresponding to the identity [[x{sub 1},x{sub 2}],x{sub 3}]=0 over an infinite field of characteristic p>0. One of the basic results is the decomposition of quotient T-spaces connected with F{sup (3)} into a direct sum of simple components. Also, the T-spaces under consideration are commutative subalgebras of F{sup (3)}; thus, the structure of F{sup (3)} and its subalgebras is described as modules over these commutative subalgebras. Finally, we consider the specifics of the case p=2. Bibliography: 15 titles.
- OSTI ID:
- 21301488
- Journal Information:
- Sbornik. Mathematics, Vol. 200, Issue 9; Other Information: DOI: 10.1070/SM2009v200n09ABEH004038; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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