ON INTEGRALITY AND GOING-DOWN INSIDE THE FIXED RING OF A MONOID RING

David E. Dobbs; Jay Shapiro

doi:https://doi.org/10.24330/ieja.266198

Makale detayları

ON INTEGRALITY AND GOING-DOWN INSIDE THE FIXED RING OF A MONOID RING

Yazarlar:

David E. Dobbs | Jay Shapiro

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2016 Vol.19 Issue 19, pp.132-144

Belge Tipi:

Makale

Yayın Tarihi:

5/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000718125

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.266198

Özet:

 

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.

Makale detayları

ON INTEGRALITY AND GOING-DOWN INSIDE THE FIXED RING OF A MONOID RING

Yazarlar: David E. Dobbs | Jay Shapiro

Yayıncı: Abdullah HARMANCI

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Algebra 2016 Vol.19 Issue 19, pp.132-144

Belge Tipi: Makale

Yayın Tarihi: 5/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000718125

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.266198

Sayı

Yazarlar:

David E. Dobbs | Jay Shapiro

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2016 Vol.19 Issue 19, pp.132-144

Belge Tipi:

Makale

Yayın Tarihi:

5/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000718125

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.266198