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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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$KD_\infty$ is a CS-algebra
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by S. K. Jain, P. Kanwar, S. Malik and J. B. Srivastava PDF
Proc. Amer. Math. Soc. 128 (2000), 397-400 Request permission

Abstract:

In this paper, it is shown that the group algebra $KD_\infty$ is right CS if and only if $char(K)\neq 2$. Moreover, when $char(K)\neq 2$, then $KD_\infty$ is also CS as a module over its center.
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Additional Information
  • S. K. Jain
  • Affiliation: Department of Mathematics, Ohio University, Athens, Ohio 45701
  • MR Author ID: 199020
  • Email: jain@math.ohiou.edu
  • P. Kanwar
  • Address at time of publication: Division of Mathematics and Computer Science, Truman State University, Kirksville, Missouri 63501
  • Email: pkanwar@math.ohiou.edu
  • S. Malik
  • Affiliation: Department of Mathematics, Hindu College, Delhi-110007, India
  • Email: sbm@csec.ernet.in
  • J. B. Srivastava
  • Affiliation: Department of Mathematics, Indian Institute of Technology, New Delhi-110016, India
  • Email: jbsrivas@maths.iitd.ernet.in
  • Received by editor(s): April 10, 1998
  • Published electronically: July 8, 1999
  • Communicated by: Ken Goodearl
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 397-400
  • MSC (1991): Primary 16S14, 13B21, 13C10, 13F05
  • DOI: https://doi.org/10.1090/S0002-9939-99-05095-9
  • MathSciNet review: 1636958