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On Some Relationships Between Spectral Sequences And The New Exact Sequences | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 3, Issue 1, 2011, Pages 1-14 PDF (0 K) | ||
| Author | ||
| Dheia Gaze Salih Al-Khafajy | ||
| Abstract | ||
| In this paper I introduce and study relationships between spectral sequences and the new exact sequences . I will show that the new exact sequence is the second derived exact couple . Let be an exact couple , we derive to get the second exact couple which is the new exact sequence . the process of derivation can be iterated indefinitely, yielding an infinite sequence of exact couples . I establish some results ,for examples ; The class of all exact couples and morphisms between these couples formed a category . There is a functor from the category of into . If . If be any , then , and . | ||
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