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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A finiteness property of affine algebras
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by Hyman Bass
Proc. Amer. Math. Soc. 110 (1990), 315-318
DOI: https://doi.org/10.1090/S0002-9939-1990-1030733-1
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Abstract:

Let $A$ be a finitely presented reduced commutative $k$-algebra and $J$ an ideal in $A$. If $A$ embeds in $A/J$ then $J = 0$.
References
  • Hyman Bass, Linearizing flat families of reductive group representations, Topological methods in algebraic transformation groups (New Brunswick, NJ, 1988) Progr. Math., vol. 80, Birkhäuser Boston, Boston, MA, 1989, pp. 5–10. MR 1040854
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Bibliographic Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 110 (1990), 315-318
  • MSC: Primary 13E15
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1030733-1
  • MathSciNet review: 1030733