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Modules with non-cyclic socle and the extension property / Ali Assem Abdalqader Mahmoud ; Supervised Nefertiti Megahed , Tarek Sayed Ahmad

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Cairo : Ali Assem Abdalqader Mahmoud , 2016Description: 97 P. ; 25cmOther title:
  • التشكيلات ذات القواعد غير الدائرية وخاصية الامتداد [Added title page title]
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  • Issued also as CD
Dissertation note: Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics Summary: In 2009, J. Wood [43] proved that Frobenius bimodules have the extension property for symmetrized weight compositions. More generally, in [11], it is shown that having a cyclic socle is suf{uFB01}cient for satisfying the property, while the necessity remained an open question. Here, landing in Midway, a partial converse is proved. For a signi{uFB01}cant class of {uFB01}nite module alphabets, the cyclic socle is shown necessary to satisfy the ex- tension property. The idea is bridging to the case of Hamming weight through a new weight function
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Thesis Thesis قاعة الرسائل الجامعية - الدور الاول المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.12.17.M.Sc.2016.Al.M (Browse shelf(Opens below)) Not for loan 01010110069867000
CD - Rom CD - Rom مخـــزن الرســائل الجـــامعية - البدروم المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.12.17.M.Sc.2016.Al.M (Browse shelf(Opens below)) 69867.CD Not for loan 01020110069867000

Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics

In 2009, J. Wood [43] proved that Frobenius bimodules have the extension property for symmetrized weight compositions. More generally, in [11], it is shown that having a cyclic socle is suf{uFB01}cient for satisfying the property, while the necessity remained an open question. Here, landing in Midway, a partial converse is proved. For a signi{uFB01}cant class of {uFB01}nite module alphabets, the cyclic socle is shown necessary to satisfy the ex- tension property. The idea is bridging to the case of Hamming weight through a new weight function

Issued also as CD

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