Commutative reduced filial rings

A ring \(R\) is filial when for every \(I\), \(J\), if \(I\) is an ideal of \(J\) and \(J\) is an ideal of \(R\) then \(I\) is an ideal of \(R\). Several characterizations and results on structure of commutative reduced filial rings are obtained.

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Datum:2018
Hauptverfasser: Andruszkiewicz, Ryszard R., Sobolewska, Magdalena
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/854
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-854
record_format ojs
spelling admjournalluguniveduua-article-8542018-03-21T12:28:31Z Commutative reduced filial rings Andruszkiewicz, Ryszard R. Sobolewska, Magdalena ideal, filial ring, reduced ring 16D25, 16D70, 13G05 A ring \(R\) is filial when for every \(I\), \(J\), if \(I\) is an ideal of \(J\) and \(J\) is an ideal of \(R\) then \(I\) is an ideal of \(R\). Several characterizations and results on structure of commutative reduced filial rings are obtained. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/854 Algebra and Discrete Mathematics; Vol 6, No 3 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/854/384 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-03-21T12:28:31Z
collection OJS
language English
topic ideal
filial ring
reduced ring
16D25
16D70
13G05
spellingShingle ideal
filial ring
reduced ring
16D25
16D70
13G05
Andruszkiewicz, Ryszard R.
Sobolewska, Magdalena
Commutative reduced filial rings
topic_facet ideal
filial ring
reduced ring
16D25
16D70
13G05
format Article
author Andruszkiewicz, Ryszard R.
Sobolewska, Magdalena
author_facet Andruszkiewicz, Ryszard R.
Sobolewska, Magdalena
author_sort Andruszkiewicz, Ryszard R.
title Commutative reduced filial rings
title_short Commutative reduced filial rings
title_full Commutative reduced filial rings
title_fullStr Commutative reduced filial rings
title_full_unstemmed Commutative reduced filial rings
title_sort commutative reduced filial rings
description A ring \(R\) is filial when for every \(I\), \(J\), if \(I\) is an ideal of \(J\) and \(J\) is an ideal of \(R\) then \(I\) is an ideal of \(R\). Several characterizations and results on structure of commutative reduced filial rings are obtained.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/854
work_keys_str_mv AT andruszkiewiczryszardr commutativereducedfilialrings
AT sobolewskamagdalena commutativereducedfilialrings
first_indexed 2025-12-02T15:37:19Z
last_indexed 2025-12-02T15:37:19Z
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