When every ideal is $\phi$-P-flat

Hwankoo Kım; Najib Mahdou; El Houssaine Oubouhou

Makale detayları

When every ideal is $\phi$-P-flat

Yazarlar:

Hwankoo Kım | Najib Mahdou | El Houssaine Oubouhou

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 3, pp.708-720

Belge Tipi:

Makale

Yayın Tarihi:

5/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001290023

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 Let R be a commutative ring with nonzero identity. An R-module M is called phi-P-flat if x in AnnsM for every non-nilpotent element s in R and xin M such that sx0. In this paper, we introduce and study the class of phi-PF-rings, i.e., rings in which all ideals are phi-P-flat. Among other results, the transfer of the phi-PF-ring to the amalgamation is investigated. Several examples which delineate the concepts and results are provided.

 Let R be a commutative ring with nonzero identity. An R-module M is called phi-P-flat if x in AnnsM for every non-nilpotent element s in R and xin M such that sx0. In this paper, we introduce and study the class of phi-PF-rings, i.e., rings in which all ideals are phi-P-flat. Among other results, the transfer of the phi-PF-ring to the amalgamation is investigated. Several examples which delineate the concepts and results are provided.

 Let R be a commutative ring with nonzero identity. An R-module M is called phi-P-flat if x in AnnsM for every non-nilpotent element s in R and xin M such that sx0. In this paper, we introduce and study the class of phi-PF-rings, i.e., rings in which all ideals are phi-P-flat. Among other results, the transfer of the phi-PF-ring to the amalgamation is investigated. Several examples which delineate the concepts and results are provided.

 Let R be a commutative ring with nonzero identity. An R-module M is called phi-P-flat if x in AnnsM for every non-nilpotent element s in R and xin M such that sx0. In this paper, we introduce and study the class of phi-PF-rings, i.e., rings in which all ideals are phi-P-flat. Among other results, the transfer of the phi-PF-ring to the amalgamation is investigated. Several examples which delineate the concepts and results are provided.

Makale detayları

When every ideal is $\phi$-P-flat

Yazarlar:

Hwankoo Kım | Najib Mahdou | El Houssaine Oubouhou

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 3, pp.708-720

Belge Tipi:

Makale

Yayın Tarihi:

5/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001290023

pISSN:

2651-477X

$\phi$-flat

$\phi$-P-flat

$\phi$-PF-ring

PF-ring

PN-ring

ZN-ring

$\phi$-von Neumann regular ring

trivial extension

Sayı

Makale detayları

Yazarlar: Hwankoo Kım | Najib Mahdou | El Houssaine Oubouhou

Yayıncı: Hacettepe University

Ana Başlıklar: Mathematical Sciences

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 3, pp.708-720

Belge Tipi: Makale

Yayın Tarihi: 5/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001290023

pISSN: 2651-477X

Sayı

Yazarlar:

Hwankoo Kım | Najib Mahdou | El Houssaine Oubouhou

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 3, pp.708-720

Belge Tipi:

Makale

Yayın Tarihi:

5/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001290023

pISSN:

2651-477X