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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Published in:Algebra and Discrete Mathematics
Date:2007
Main Authors: Andruszkiewicz, R.R., Sobolewska, M.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2007
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/152361
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Commutative reduced filial rings / R.R. Andruszkiewicz, M. Sobolewska// Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 18–26. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Andruszkiewicz, R.R.
Sobolewska, M.
author_facet Andruszkiewicz, R.R.
Sobolewska, M.
citation_txt Commutative reduced filial rings / R.R. Andruszkiewicz, M. Sobolewska// Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 18–26. — Бібліогр.: 7 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
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.
first_indexed 2025-11-25T21:08:28Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-11-25T21:08:28Z
publishDate 2007
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Andruszkiewicz, R.R.
Sobolewska, M.
2019-06-10T13:14:52Z
2019-06-10T13:14:52Z
2007
Commutative reduced filial rings / R.R. Andruszkiewicz, M. Sobolewska// Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 18–26. — Бібліогр.: 7 назв. — англ.
1726-3255
2000 Mathematics Subject Classification:16D25, 16D70, 13G05.
https://nasplib.isofts.kiev.ua/handle/123456789/152361
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.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Commutative reduced filial rings
Article
published earlier
spellingShingle Commutative reduced filial rings
Andruszkiewicz, R.R.
Sobolewska, M.
title Commutative reduced filial rings
title_full Commutative reduced filial rings
title_fullStr Commutative reduced filial rings
title_full_unstemmed Commutative reduced filial rings
title_short Commutative reduced filial rings
title_sort commutative reduced filial rings
url https://nasplib.isofts.kiev.ua/handle/123456789/152361
work_keys_str_mv AT andruszkiewiczrr commutativereducedfilialrings
AT sobolewskam commutativereducedfilialrings