A RELATIONSHIP BETWEEN 2-PRIMAL MODULES AND MODULES THAT SATISFY THE RADICAL FORMULA

David Ssevviiri

doi:https://doi.org/10.24330/ieja.266202

Makale detayları

A RELATIONSHIP BETWEEN 2-PRIMAL MODULES AND MODULES THAT SATISFY THE RADICAL FORMULA

Yazarlar:

David Ssevviiri

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2015 Vol.18 Issue 18, pp.34-45

Belge Tipi:

Makale

Yayın Tarihi:

11/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000718133

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.266202

Özet:

 

The coincidence of the set of all nilpotent elements of a ring with
 its prime radical has a module analogue which occurs when the zero submodule
 satisfies the radical formula. A ring R is 2-primal if the set of all nilpotent
 elements of R coincides with its prime radical. This fact motivates our study
 in this paper, namely; to compare 2-primal submodules and submodules that
 satisfy the radical formula. A demonstration of the importance of 2-primal
 modules in bridging the gap between modules over commutative rings and
 modules over noncommutative rings is done and new examples of rings and
 modules that satisfy the radical formula are also given.

Makale detayları

A RELATIONSHIP BETWEEN 2-PRIMAL MODULES AND MODULES THAT SATISFY THE RADICAL FORMULA

Yazarlar: David Ssevviiri

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2015 Vol.18 Issue 18, pp.34-45

Belge Tipi: Makale

Yayın Tarihi: 11/2015

Belge Dili: Türkçe

Document ID (Org No.): 2000718133

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.266202

Sayı

Yazarlar:

David Ssevviiri

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2015 Vol.18 Issue 18, pp.34-45

Belge Tipi:

Makale

Yayın Tarihi:

11/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000718133

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.266202