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Some closure properties in monoids

✍ Scribed by John Isbell; Stephen Schanuel

Book ID
110560696
Publisher
Springer
Year
1993
Tongue
English
Weight
281 KB
Volume
46
Category
Article
ISSN
0037-1912

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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