Open Access𝐺₀ of a graded ring
Author(s) -
Leslie G. Roberts
Publication year - 1972
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/s0002-9947-1972-0294326-x
Subject(s) - algorithm , artificial intelligence , computer science
We consider the Grothendieck group G 0 {G_0} of various graded rings, including G 0 ( A n r ) {G_0}(A_n^r) where A is a commutative noetherian ring, and A n r A_n^r is the A -subalgebra of the polynomial ring A [ X 0 , … , X n ] A[{X_0}, \ldots ,{X_n}] generated by monomials of degree r . If A is regular, then G 0 ( A n r ) {G_0}(A_n^r) has a ring structure. The ideal class groups of these rings are also considered.