A note on the associated primes of local cohomology modules for regular local rings

Yubin GAO

Makale detayları

A note on the associated primes of local cohomology modules for regular local rings

Yazarlar:

Yubin GAO

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2775-2778

Belge Tipi:

Makale

Yayın Tarihi:

9/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745799

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

Let RRR be a regular local ring. In this note, we prove that AssRH2I(R)AssRHI2(R)Ass_RH^2_I(R) is finite for any ideal III of RRR. We also  give a sufficient condition for AssRH3(x,y,z)(R)AssRH(x,y,z)3(R)Ass_RH^3_{(x,y,z)}(R) to be finite for x,yx,yx, y an RRR-regular sequence and z∈Rz∈Rz\in R, which would imply that Lyubeznik's  conjecture is true in the regular local rings case.

Makale detayları

A note on the associated primes of local cohomology modules for regular local rings

Yazarlar: Yubin GAO

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2775-2778

Belge Tipi: Makale

Yayın Tarihi: 9/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745799

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Yubin GAO

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2775-2778

Belge Tipi:

Makale

Yayın Tarihi:

9/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745799

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098