ULTRA STAR OPERATIONS ON ULTRA PRODUCT OF INTEGRAL DOMAINS

Olivier A. HEUBO-KWEGNA

doi:https://doi.org/10.24330/ieja.663071

Makale detayları

ULTRA STAR OPERATIONS ON ULTRA PRODUCT OF INTEGRAL DOMAINS

Yazarlar:

Olivier A. HEUBO-KWEGNA

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2020 Vol.27 Issue 27, pp.206-217

Belge Tipi:

Makale

Yayın Tarihi:

1/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000717918

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.663071

Özet:

 

We introduce the notion of ultra star operation on ultraproduct of integral domains as a map from the set of induced ideals into the set of induced ideals satisfying the traditional properties of star operations. A case of special interest is the construction of an ultra star operation on the ultraproduct of integral domains RiRiR_i's from some given star operations ⋆i⋆i\star_i on RiRiR_i's. We provide the ultra bbb-operation and the ultra vvv-operation. Given an arbitrary star operation ⋆⋆\star on the ultraproduct of some integral domains, we pose the problem of whether the restriction of ⋆⋆\star to the set of induced ideals is necessarily an ultra star operation. We show that the ultraproduct of integral domains RiRiR_i's is a ⋆⋆\star-Pr\"{u}fer domain if and only if RiRiR_i is a ⋆i⋆i\star_i-Pr\"{u}fer domain for UU\mathcal{U}-many iii.

Makale detayları

ULTRA STAR OPERATIONS ON ULTRA PRODUCT OF INTEGRAL DOMAINS

Yazarlar: Olivier A. HEUBO-KWEGNA

Yayıncı: Abdullah HARMANCI

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Algebra 2020 Vol.27 Issue 27, pp.206-217

Belge Tipi: Makale

Yayın Tarihi: 1/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000717918

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.663071

Sayı

Yazarlar:

Olivier A. HEUBO-KWEGNA

Yayıncı:

Abdullah HARMANCI

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Algebra 2020 Vol.27 Issue 27, pp.206-217

Belge Tipi:

Makale

Yayın Tarihi:

1/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000717918

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.663071