$G_{0}$ 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.References
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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