|
Algebra and Discrete Mathematics, 2006, выпуск 3, страницы 1–16
(Mi adm266)
|
|
|
|
Эта публикация цитируется в 11 научных статьях (всего в 11 статьях)
RESEARCH ARTICLE
$\tau$-complemented and $\tau$-supplemented modules
Khaled Al-Takhmana, Christian Lompb, Robert Wisbauerc a Department of Mathematics, Birzeit University, Birzeit P. . Box 14, Palestine
b Centro de Matematica da Universidade do Porto,
4169–007 Porto, Portugal
c Mathematisches Institut der, Heinrich-Heine Universität, 0225 Düsseldorf,
Germany
Аннотация:
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 Stenström, 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.
Ключевые слова:
proper classes; neat and coneat submodules; $\tau$-supplemented, $\tau$-complemented and $\tau$-semiperfect modules.
Поступила в редакцию: 16.01.2006 Исправленный вариант: 21.11.2006
Образец цитирования:
Khaled Al-Takhman, Christian Lomp, Robert Wisbauer, “$\tau$-complemented and $\tau$-supplemented modules”, Algebra Discrete Math., 2006, no. 3, 1–16
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm266 https://www.mathnet.ru/rus/adm/y2006/i3/p1
|
Статистика просмотров: |
Страница аннотации: | 699 | PDF полного текста: | 147 | Список литературы: | 5 | Первая страница: | 1 |
|