P.P. PROPERTIES OF GROUP RINGS

Libo ZAN; Jianlong CHEN

Makale detayları

P.P. PROPERTIES OF GROUP RINGS

Yazarlar:

Libo ZAN | Jianlong CHEN

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2008 Vol.3 Issue 3, pp.117-124

Belge Tipi:

Makale

Yayın Tarihi:

5/2008

Belge Dili:

Türkçe

Document ID (Org No.):

2000718434

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

Özet:

 

A ring is called left p.p. if the left annihilator of each element of R is generated by an idempotent. We prove that for a ring R and a group G, if the group ring RG is left p.p. then so is RH for every subgroup H of G; if in addition G is finite then |G|−1 ∈ R. Counterexamples are given to answer the question whether the group ring RG is left p.p. if R is left p.p. and G is a finite group with |G|−1 ∈ R. Let G be a group acting on R as automorphisms. Some sufficient conditions are given for the fixed ring RG to be left p.p.

Makale detayları

P.P. PROPERTIES OF GROUP RINGS

Yazarlar: Libo ZAN | Jianlong CHEN

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2008 Vol.3 Issue 3, pp.117-124

Belge Tipi: Makale

Yayın Tarihi: 5/2008

Belge Dili: Türkçe

Document ID (Org No.): 2000718434

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

Sayı

Yazarlar:

Libo ZAN | Jianlong CHEN

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2008 Vol.3 Issue 3, pp.117-124

Belge Tipi:

Makale

Yayın Tarihi:

5/2008

Belge Dili:

Türkçe

Document ID (Org No.):

2000718434

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048