AN ADDENDUM TO THE PAPER: MODULES WITH FINITELY MANY SUBMODULES

Gabriel PICAVET; Martine PICAVET-L'HERMITTE

doi:https://doi.org/10.24330/ieja.768272

Makale detayları

AN ADDENDUM TO THE PAPER: MODULES WITH FINITELY MANY SUBMODULES

Yazarlar:

Gabriel PICAVET | Martine PICAVET-L'HERMITTE

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2020 Vol.28 Issue 28, pp.229-229

Belge Tipi:

Makale

Yayın Tarihi:

7/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000717891

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.768272

Özet:

 


Abstract of the paper: "G. Picavet and M. Picavet-L'Hermitte, Modules with finitely many submodules, Int. Electron. J. Algebra, 19 (2016), 119-131.":

We   characterize   ring extensions R⊂SR⊂SR \subset S having FCP (FIP), where SSS is the idealization of  some RRR-module. As a by-product  we exhibit characterizations of the modules that have finitely many submodules. Our tools are minimal ring morphisms, while Artinian conditions on rings are ubiquitous.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.

Makale detayları

AN ADDENDUM TO THE PAPER: MODULES WITH FINITELY MANY SUBMODULES

Yazarlar: Gabriel PICAVET | Martine PICAVET-L'HERMITTE

Yayıncı: Abdullah HARMANCI

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Algebra 2020 Vol.28 Issue 28, pp.229-229

Belge Tipi: Makale

Yayın Tarihi: 7/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000717891

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.768272

Sayı

Yazarlar:

Gabriel PICAVET | Martine PICAVET-L'HERMITTE

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2020 Vol.28 Issue 28, pp.229-229

Belge Tipi:

Makale

Yayın Tarihi:

7/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000717891

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.768272