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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Local algebras of a differential quasigroup
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by Maks A. Akivis and Vladislav V. Goldberg
Bull. Amer. Math. Soc. 43 (2006), 207-226
DOI: https://doi.org/10.1090/S0273-0979-06-01094-9
Published electronically: February 15, 2006

Erratum: Bull. Amer. Math. Soc. 43 (2006), 397-397.

Abstract:

The authors provide a summary of results in the theory of differential quasigroups and their local algebras and indicate the relationship of these results to recent work on this subject.
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Bibliographic Information
  • Maks A. Akivis
  • Affiliation: Department of Mathematics, Jerusalem College of Technology–Mahon Lev, Havaad Haleumi St., P. O. Box 16031, Jerusalem 91160, Israel
  • Email: akivis@mail.jct.ac.il
  • Vladislav V. Goldberg
  • Affiliation: Department of Mathematical Sciences, New Jersey Institute of Technology, University Heights, Newark, New Jersey 07102
  • Email: vlgold@oak.njit.edu
  • Received by editor(s): January 20, 2005
  • Received by editor(s) in revised form: August 10, 2005
  • Published electronically: February 15, 2006
  • Additional Notes: A preliminary version of this article was presented at the Mile High Conference on Quasigroups, Loops and Nonassociative Systems (University of Denver, Denver, Colorado, July 2005).
  • © Copyright 2006 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 43 (2006), 207-226
  • MSC (2000): Primary 20N05; Secondary 53A60, 17D99
  • DOI: https://doi.org/10.1090/S0273-0979-06-01094-9
  • MathSciNet review: 2216110