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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 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Global dimension of orders
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by Richard B. Tarsy PDF
Trans. Amer. Math. Soc. 151 (1970), 335-340 Request permission

Abstract:

We prove that the finitistic global dimension (fGD) of an order in a quaternion algebra over the quotient field of a Dedekind domain is one. Examples are given of orders of global dimension $n - 1$ in $n \times n$ matrices over the quotient field of a discrete valuation ring.
References
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Additional Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 151 (1970), 335-340
  • MSC: Primary 16.90
  • DOI: https://doi.org/10.1090/S0002-9947-1970-0268226-3
  • MathSciNet review: 0268226