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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Extensions of derivations


Authors: Michael Barr and Max-Albert Knus
Journal: Proc. Amer. Math. Soc. 28 (1971), 313-314
MSC: Primary 16.60
DOI: https://doi.org/10.1090/S0002-9939-1971-0272829-6
MathSciNet review: 0272829
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Abstract: We show that for a class of algebras including separable algebras one can extend derivations of the center to derivations of the algebra.


References [Enhancements On Off] (What's this?)

  • [Ho] . G. Hochschild, Restricted Lie algebras and simple associative algebras of characteristic $ p$, Trans. Amer. Math. Soc. 80 (1955), 135-147. MR 17, 282. MR 0072428 (17:282d)
  • [R, S] . A. Roy and R. Sridharan, Derivations in Azumaya algebras, J. Math. Kyoto Univ. 7 (1967), 161-167. MR 36 #5125. MR 0222073 (36:5125)
  • [Kn] . M. A. Knus, Sur le théorème de Skolem-Noether et sur les dérivations des algèbres d'Azumaya, C. R. Acad. Sci. Paris 270 (1970), 637-639. MR 0257149 (41:1803)
  • [A, G] . M. Auslander and O. Goldman, The Brauer group of a commutative ring, Trans. Amer. Math. Soc. 97 (1960), 367-409. MR 22 #12130. MR 0121392 (22:12130)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1971-0272829-6
Keywords: Separable algebras, Azumaya algebras, algebras of Hochschild dimension one, derivations, extension of derivations
Article copyright: © Copyright 1971 American Mathematical Society

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