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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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Isomorphisms between sub-strongly reducible maximal triangular algebras
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by Fangyan Lu and Shijie Lu PDF
Proc. Amer. Math. Soc. 128 (2000), 2121-2128 Request permission

Abstract:

In this paper, we introduce the concept of sub-strongly maximal triangular algebras which form a large class of maximal triangular algebras, and prove that every algebraic isomorphism of sub-strongly maximal triangular algebras is spatially implemented, which generalizes the result by Ringrose in two respects.
References
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Additional Information
  • Fangyan Lu
  • Affiliation: School of Mathematical Science, Suzhou University, Suzhou 215006, People’s Republic of China
  • Email: fylu@suda.edu.cn
  • Shijie Lu
  • Affiliation: Department of Mathematics, Zhejiang University, Hangzhou 310027, People’s Republic of China
  • Received by editor(s): January 6, 1998
  • Received by editor(s) in revised form: September 4, 1998
  • Published electronically: November 29, 1999
  • Communicated by: David R. Larson
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 2121-2128
  • MSC (2000): Primary 47L75, 47L35
  • DOI: https://doi.org/10.1090/S0002-9939-99-05459-3
  • MathSciNet review: 1690996