Quasi-Primary Spectrum of a Commutative Ring and a Sheaf of Rings

Neslihan Ayşen Özbay

Makale detayları

Quasi-Primary Spectrum of a Commutative Ring and a Sheaf of Rings

Yazarlar:

Neslihan Ayşen Özbay

Yayıncı:

Kocaeli University

Ana Başlıklar:

Matematik

Dergi:

Kocaeli Journal of Science and Engineering Vol.6 Issue 2, pp.89-93

Belge Tipi:

Makale

Yayın Tarihi:

11/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001300858

pISSN:

2667-484X

Anahtar kelimeler:

Özet:

 In this work, the set of quasi-primary ideals of a commutative ring with identity is equipped with a topology and is called the quasi-primary spectrum. Some topological properties of this space are examined. Further, a sheaf of rings on the quasi-primary spectrum is constructed and it is shown that this sheaf is the direct image sheaf with respect to the inclusion map from the prime spectrum of a ring to the quasi-primary spectrum of the same ring.

 In this work, the set of quasi-primary ideals of a commutative ring with identity is equipped with a topology and is called the quasi-primary spectrum. Some topological properties of this space are examined. Further, a sheaf of rings on the quasi-primary spectrum is constructed and it is shown that this sheaf is the direct image sheaf with respect to the inclusion map from the prime spectrum of a ring to the quasi-primary spectrum of the same ring.

 In this work, the set of quasi-primary ideals of a commutative ring with identity is equipped with a topology and is called the quasi-primary spectrum. Some topological properties of this space are examined. Further, a sheaf of rings on the quasi-primary spectrum is constructed and it is shown that this sheaf is the direct image sheaf with respect to the inclusion map from the prime spectrum of a ring to the quasi-primary spectrum of the same ring.

 In this work, the set of quasi-primary ideals of a commutative ring with identity is equipped with a topology and is called the quasi-primary spectrum. Some topological properties of this space are examined. Further, a sheaf of rings on the quasi-primary spectrum is constructed and it is shown that this sheaf is the direct image sheaf with respect to the inclusion map from the prime spectrum of a ring to the quasi-primary spectrum of the same ring.

Makale detayları

Quasi-Primary Spectrum of a Commutative Ring and a Sheaf of Rings

Yazarlar:

Neslihan Ayşen Özbay

Yayıncı:

Kocaeli University

Ana Başlıklar:

Matematik

Dergi:

Kocaeli Journal of Science and Engineering Vol.6 Issue 2, pp.89-93

Belge Tipi:

Makale

Yayın Tarihi:

11/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001300858

pISSN:

2667-484X

Quasi-primary ideals

Quasi-primary spectrum

Sheaf of rings

Zariski topology

Sayı

Makale detayları

Quasi-Primary Spectrum of a Commutative Ring and a Sheaf of Rings

Yazarlar: Neslihan Ayşen Özbay

Yayıncı: Kocaeli University

Ana Başlıklar: Matematik

Dergi: Kocaeli Journal of Science and Engineering Vol.6 Issue 2, pp.89-93

Belge Tipi: Makale

Yayın Tarihi: 11/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001300858

pISSN: 2667-484X

Quasi-primary ideals

Quasi-primary spectrum

Sheaf of rings

Zariski topology

Sayı

Yazarlar:

Neslihan Ayşen Özbay

Yayıncı:

Kocaeli University

Ana Başlıklar:

Matematik

Dergi:

Kocaeli Journal of Science and Engineering Vol.6 Issue 2, pp.89-93

Belge Tipi:

Makale

Yayın Tarihi:

11/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001300858

pISSN:

2667-484X