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...
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2016 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2016
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/155207 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| id |
nasplib_isofts_kiev_ua-123456789-155207 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
A survey of results on radicals and torsions in modules |
| spellingShingle |
A survey of results on radicals and torsions in modules Kashu, A.I. |
| title_short |
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_sort |
survey of results on radicals and torsions in modules |
| author |
Kashu, A.I. |
| author_facet |
Kashu, A.I. |
| publishDate |
2016 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/155207 |
| 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. |
| work_keys_str_mv |
AT kashuai asurveyofresultsonradicalsandtorsionsinmodules AT kashuai surveyofresultsonradicalsandtorsionsinmodules |
| first_indexed |
2025-12-07T20:55:38Z |
| last_indexed |
2025-12-07T20:55:38Z |
| _version_ |
1850884424590163968 |