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 Stenstr¨om, Gene...
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| Дата: | 2006 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2006
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/157359 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-157359 |
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dspace |
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irk-123456789-1573592019-06-21T01:28:10Z τ-complemented and τ-supplemented modules Al-Takhman, K. Lomp, C. Wisbauer, R. 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. 2006 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/157359 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Al-Takhman, K. Lomp, C. Wisbauer, R. |
| spellingShingle |
Al-Takhman, K. Lomp, C. Wisbauer, R. τ-complemented and τ-supplemented modules Algebra and Discrete Mathematics |
| author_facet |
Al-Takhman, K. Lomp, C. Wisbauer, R. |
| author_sort |
Al-Takhman, K. |
| title |
τ-complemented and τ-supplemented modules |
| title_short |
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_sort |
τ-complemented and τ-supplemented modules |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/157359 |
| 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. |
| series |
Algebra and Discrete Mathematics |
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2023-05-20T17:51:50Z |
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2023-05-20T17:51:50Z |
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