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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Gelfand-Kirillov dimension in Jordan Algebras
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by C. Martinez PDF
Trans. Amer. Math. Soc. 348 (1996), 119-126 Request permission

Abstract:

In this paper we study Gelfand-Kirillov dimension in Jordan algebras. In particular we will relate Gelfand-Kirillov (GK for short) dimensions of a special Jordan algebra and its associative enveloping algebra and also the GK dimension of a Jordan algebra and the GK dimension of its universal multiplicative enveloping algebra.
References
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Additional Information
  • C. Martinez
  • Affiliation: Department of Mathematics, University of Oviedo, 33.007 Oviedo, Spain
  • Email: chelo@pinon.ccu.uniovi.es
  • Received by editor(s): July 1, 1994
  • Additional Notes: Partially supported by DGICYT, Ps. 90-0129
  • © Copyright 1996 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 348 (1996), 119-126
  • MSC (1991): Primary 17C50, 17C99
  • DOI: https://doi.org/10.1090/S0002-9947-96-01528-0
  • MathSciNet review: 1329537