TREED DOMAINS

Gabriel PİCAVET

Makale detayları

TREED DOMAINS

Yazarlar:

Gabriel PİCAVET

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2008 Vol.3 Issue 3, pp.43-57

Belge Tipi:

Makale

Yayın Tarihi:

5/2008

Belge Dili:

Türkçe

Document ID (Org No.):

2000718428

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

Özet:

 

We establish that treed domains are well behaved in Zafrullah’s sense and have locally polynomial depth 1. For the DW-domains R of Mimouni, such that I−1 6= R for each nontrivial finitely generated ideal I of R, likewise results are proven. We study some special treed domains and show in particular that the Nagata ring of an integral domain R is (locally) divided if and only if R is (locally) divided and quasi-Prüfer. We show that the small finitistic dimension of a local treed domain is 1 and calculate the small finitistic dimension of localizations of polynomial rings over a treed domain.

Makale detayları

TREED DOMAINS

Yazarlar: Gabriel PİCAVET

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2008 Vol.3 Issue 3, pp.43-57

Belge Tipi: Makale

Yayın Tarihi: 5/2008

Belge Dili: Türkçe

Document ID (Org No.): 2000718428

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

Sayı

Yazarlar:

Gabriel PİCAVET

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2008 Vol.3 Issue 3, pp.43-57

Belge Tipi:

Makale

Yayın Tarihi:

5/2008

Belge Dili:

Türkçe

Document ID (Org No.):

2000718428

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048