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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Inequalities for the second cohomology of finite dimensional Lie algebras
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by Ali Reza Salemkar, Behrouz Edalatzadeh and Hamid Mohammadzadeh PDF
Proc. Amer. Math. Soc. 142 (2014), 121-127 Request permission

Abstract:

We will extend the Hochschild-Serre spectral sequence for cohomology of Lie algebras a step further. Also, some inequalities and upper bounds for the dimension of the second cohomology of finite dimensional Lie algebras will be given.
References
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Additional Information
  • Ali Reza Salemkar
  • Affiliation: Faculty of Mathematical Sciences, Shahid Beheshti University, G.C., Tehran, Iran
  • Email: salemkar@sbu.ac.ir
  • Behrouz Edalatzadeh
  • Affiliation: Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah, Iran
  • Hamid Mohammadzadeh
  • Affiliation: School of Mathematics, Iran University of Science and Technology, Tehran, Iran
  • Received by editor(s): July 31, 2011
  • Received by editor(s) in revised form: March 12, 2012
  • Published electronically: October 3, 2013
  • Additional Notes: This research was supported by a grant from Shahid Beheshti University
  • Communicated by: Kailash C. Misra
  • © Copyright 2013 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 121-127
  • MSC (2010): Primary 17B30, 17B56
  • DOI: https://doi.org/10.1090/S0002-9939-2013-11776-4
  • MathSciNet review: 3119187