A NOTE ON SATURATED MULTIPLICATIVELY CLOSED SETS

Mehdi BADIE

doi:https://doi.org/10.24330/ieja.969924

Makale detayları

A NOTE ON SATURATED MULTIPLICATIVELY CLOSED SETS

Yazarlar:

Mehdi BADIE

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2021 Vol.30 Issue 30, pp.260-268

Belge Tipi:

Makale

Yayın Tarihi:

7/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000717822

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.969924

Özet:

 

In this paper, we introduce and study HYHY \mathcal{H}_Y -s.m.c. and strong HYHY \mathcal{H}_Y -s.m.c. sets and give some connections between them and lattice ideals of HYHY \mathcal{H}_Y . Also, we introduce an ideal RSRS R_S , for each subset set SS S  of a ring RR R . We prove a ring RR R  is a Gelfand ring if and only if  RSRS R_S  is an intersection of maximal ideals, for every s.m.c. set SS S  of RR R .

Makale detayları

A NOTE ON SATURATED MULTIPLICATIVELY CLOSED SETS

Yazarlar: Mehdi BADIE

Yayıncı: Abdullah HARMANCI

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Algebra 2021 Vol.30 Issue 30, pp.260-268

Belge Tipi: Makale

Yayın Tarihi: 7/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000717822

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.969924

Sayı

Yazarlar:

Mehdi BADIE

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2021 Vol.30 Issue 30, pp.260-268

Belge Tipi:

Makale

Yayın Tarihi:

7/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000717822

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.969924