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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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$G_{0}$ of a graded ring
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by Leslie G. Roberts PDF
Trans. Amer. Math. Soc. 166 (1972), 187-195 Request permission

Abstract:

We consider the Grothendieck group ${G_0}$ of various graded rings, including ${G_0}(A_n^r)$ where A is a commutative noetherian ring, and $A_n^r$ is the A-subalgebra of the polynomial ring $A[{X_0}, \ldots ,{X_n}]$ generated by monomials of degree r. If A is regular, then ${G_0}(A_n^r)$ has a ring structure. The ideal class groups of these rings are also considered.
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 166 (1972), 187-195
  • MSC: Primary 13J05
  • DOI: https://doi.org/10.1090/S0002-9947-1972-0294326-X
  • MathSciNet review: 0294326