An example is given of a finitely generated abelian torsion-free
monoid S on which the group G with two elements acts via semigroup automorphisms
such that for any field K, when the given action is extended so
that G acts on the monoid ring K[X; S] via ring automorphisms that fix K
elementwise, the ring extension K[X; SG] ⊆ (K[X; S])G is not integral and
does not satisfy the going-down property.
Konular | Matematik |
---|---|
Diğer ID | JA35BD76EB |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 1 Haziran 2016 |
Yayımlandığı Sayı | Yıl 2016 |