Let F be a field of characteristic zero and let E be the Grassmann algebra of an infinite dimensional F-vector space L. In this paper we study the Z 2 -graded polynomial identities of E with respect to any fixed Z 2 -grading such that L is an homogeneous subspace. We found explicit generators for th
On graded polynomial identities with an antiautomorphism
โ Scribed by K.I. Beidar; T.-S. Chen; Y. Fong; W.-F. Ke
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 136 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
Let G be a commutative monoid with cancellation and let R be a strongly G-graded associative algebra with finite G-grading and with antiautomorphism. Suppose that R satisfies a graded polynomial identity with antiautomorphism. We show that R is a PI algebra.
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