Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Extensions of modules over Weyl algebras
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by S. C. Coutinho
Trans. Amer. Math. Soc. 349 (1997), 3343-3352
DOI: https://doi.org/10.1090/S0002-9947-97-01901-6

Abstract:

In this paper we calculate some $\mathrm {Ext}$ groups of singular modules over the complex Weyl algebra $A_{n}$. In particular we determine conditions under which $\mathrm {Ext}$ is an infinite dimensional vector space when $n =2$ or $3$.
References
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Bibliographic Information
  • S. C. Coutinho
  • Affiliation: Instituto de Matemática, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970, Rio de Janeiro, RJ, Brazil
  • Email: collier@impa.br
  • Received by editor(s): February 22, 1996
  • © Copyright 1997 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 349 (1997), 3343-3352
  • MSC (1991): Primary 16S32; Secondary 16E30, 13N10
  • DOI: https://doi.org/10.1090/S0002-9947-97-01901-6
  • MathSciNet review: 1407699