Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Eventual arm and leg widths in cocharacters of P. I. Algebras
HTML articles powered by AMS MathViewer

by Allan Berele PDF
Proc. Amer. Math. Soc. 134 (2006), 665-671 Request permission

Abstract:

Given a p.i. algebra $A$, we study which partitions $\lambda$ correspond to characters with non-zero multiplicities in the cocharacter sequence of $A$. We define the $\omega _0(A)$, the eventual arm width to be the maximal $d$ so that such $\lambda$ can have $d$ parts arbitrarily large, and $\omega _1(A)$ to be the maximum $h$ so that the conjugate $\lambda ’$ could have $h$ arbitrarily large parts. Our main result is that for any $A$, $\omega _0(A)\ge \omega _1(A)$.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 16R10
  • Retrieve articles in all journals with MSC (2000): 16R10
Additional Information
  • Allan Berele
  • Affiliation: Department of Mathematics, DePaul University, Chicago, Illinois 60659
  • Email: aberele@condor.depaul.edu
  • Received by editor(s): August 6, 2004
  • Received by editor(s) in revised form: October 22, 2004
  • Published electronically: July 20, 2005
  • Communicated by: Martin Lorenz
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 665-671
  • MSC (2000): Primary 16R10
  • DOI: https://doi.org/10.1090/S0002-9939-05-07999-2
  • MathSciNet review: 2180882