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An Example in Noetherian Rings

✍ Scribed by Lance W. Small

Book ID
123658467
Publisher
National Academy of Sciences
Year
1965
Tongue
English
Weight
129 KB
Volume
54
Category
Article
ISSN
0027-8424

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Let R be a commutative unitary ring and let M be a commutative monoid. The monoid ring R[M ] is considered as an M -graded ring where the homogeneous elements of degree s are the elements of the form aX s , a ∈ R, s ∈ M . If each homogeneous ideal of R[M ] is ÿnitely generated, we say R[M ] is gr-No