τ-complemented and τ-supplemented modules
Proper classes of monomorphisms and short exact
 sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphisms and
 this observations were extended to modules by...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2006 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/157359 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | τ-complemented and τ-supplemented modules / K. Al-Takhman, C. Lomp, R. Wisbauer // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 1–15. — Бібліогр.: 17 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862742397484531712 |
|---|---|
| author | Al-Takhman, K. Lomp, C. Wisbauer, R. |
| author_facet | Al-Takhman, K. Lomp, C. Wisbauer, R. |
| citation_txt | τ-complemented and τ-supplemented modules / K. Al-Takhman, C. Lomp, R. Wisbauer // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 1–15. — Бібліогр.: 17 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Proper classes of monomorphisms and short exact
sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphisms and
this observations were extended to modules by Stenstr¨om, Generalov, and others. In this note we consider complements and supplements with respect to (idempotent) radicals and study the related
proper classes of short exact sequences.
|
| first_indexed | 2025-12-07T20:25:36Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157359 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:25:36Z |
| publishDate | 2006 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Al-Takhman, K. Lomp, C. Wisbauer, R. 2019-06-20T02:47:01Z 2019-06-20T02:47:01Z 2006 τ-complemented and τ-supplemented modules / K. Al-Takhman, C. Lomp, R. Wisbauer // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 1–15. — Бібліогр.: 17 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 16D90, 16E50, 16.E99. https://nasplib.isofts.kiev.ua/handle/123456789/157359 Proper classes of monomorphisms and short exact
 sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphisms and
 this observations were extended to modules by Stenstr¨om, Generalov, and others. In this note we consider complements and supplements with respect to (idempotent) radicals and study the related
 proper classes of short exact sequences. This paper was initiated during a visit of K.
 Al-Takhman at the Heinrich Heine University of D¨usseldorf. He wishes
 to thank the Department of Mathematics for the hospitality and also the
 DAAD, German Academic Exchange Service, for the financial support. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics τ-complemented and τ-supplemented modules Article published earlier |
| spellingShingle | τ-complemented and τ-supplemented modules Al-Takhman, K. Lomp, C. Wisbauer, R. |
| title | τ-complemented and τ-supplemented modules |
| title_full | τ-complemented and τ-supplemented modules |
| title_fullStr | τ-complemented and τ-supplemented modules |
| title_full_unstemmed | τ-complemented and τ-supplemented modules |
| title_short | τ-complemented and τ-supplemented modules |
| title_sort | τ-complemented and τ-supplemented modules |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157359 |
| work_keys_str_mv | AT altakhmank τcomplementedandτsupplementedmodules AT lompc τcomplementedandτsupplementedmodules AT wisbauerr τcomplementedandτsupplementedmodules |