Let A be a PI-algebra over a field F. We study the asymptotic behavior of the sequence of codimensions c n (A) of A. We show that if A is finitely generated over F then Inv(A)=lim n ร n c n (A) always exists and is an integer. We also obtain the following characterization of simple algebras: A is fi
Associative Conformal Algebras of Linear Growth
โ Scribed by Alexander Retakh
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 143 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
We introduce the notions of conformal identity and unital associative conformal algebras and classify finitely generated simple unital associative conformal algebras of linear growth. These are precisely the complete algebras of conformal endomorphisms of finite modules. แฎ 2001 Academic Press 1 I am extremely grateful to Efim Zelmanov for introducing me to the subject of conformal algebras and guiding me through all stages of this research and to Michael Roitman for helpful discussions and his circle-drawing T X package.
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