A survey of results on radicals and torsions in modules
In this work basic results of the author on radicals in module categories are presented in a short form. Principal topics are: types of preradicals and their characterizations; classes of R-modules and sets of left ideals of R; notions and constructions associated to radicals; rings of quotients and...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2016 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155207 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A survey of results on radicals and torsions in modules / A.I. Kashu // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 69-110. — Бібліогр.: 66 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862748477899931648 |
|---|---|
| author | Kashu, A.I. |
| author_facet | Kashu, A.I. |
| citation_txt | A survey of results on radicals and torsions in modules / A.I. Kashu // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 69-110. — Бібліогр.: 66 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In this work basic results of the author on radicals in module categories are presented in a short form. Principal topics are: types of preradicals and their characterizations; classes of R-modules and sets of left ideals of R; notions and constructions associated to radicals; rings of quotients and localizations; preradicals in adjoint situation; torsions in Morita contexts; duality between localizations and colocalizations; principal functors and preradicals; special classes of modules; preradicals and operations in the lattices of submodules; closure operators and preradicals.
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| first_indexed | 2025-12-07T20:55:38Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155207 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:55:38Z |
| publishDate | 2016 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kashu, A.I. 2019-06-16T10:59:03Z 2019-06-16T10:59:03Z 2016 A survey of results on radicals and torsions in modules / A.I. Kashu // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 69-110. — Бібліогр.: 66 назв. — англ. 1726-3255 2010 MSC:16D90, 16S90. https://nasplib.isofts.kiev.ua/handle/123456789/155207 In this work basic results of the author on radicals in module categories are presented in a short form. Principal topics are: types of preradicals and their characterizations; classes of R-modules and sets of left ideals of R; notions and constructions associated to radicals; rings of quotients and localizations; preradicals in adjoint situation; torsions in Morita contexts; duality between localizations and colocalizations; principal functors and preradicals; special classes of modules; preradicals and operations in the lattices of submodules; closure operators and preradicals. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A survey of results on radicals and torsions in modules Article published earlier |
| spellingShingle | A survey of results on radicals and torsions in modules Kashu, A.I. |
| title | A survey of results on radicals and torsions in modules |
| title_full | A survey of results on radicals and torsions in modules |
| title_fullStr | A survey of results on radicals and torsions in modules |
| title_full_unstemmed | A survey of results on radicals and torsions in modules |
| title_short | A survey of results on radicals and torsions in modules |
| title_sort | survey of results on radicals and torsions in modules |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155207 |
| work_keys_str_mv | AT kashuai asurveyofresultsonradicalsandtorsionsinmodules AT kashuai surveyofresultsonradicalsandtorsionsinmodules |