پایان‌نامه

مدول های بالابر هم-متناهی و مدول های بالابر ضعیف هم-متناهی

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اساتید راهنما و مشاور

محمدرضا ودادی

پایان‌نامه‌های مشابه

  • مدول های تصویری که جمع مستقیمی از مدول های متناهی مولدند

    پایان‌نامه۲۰۱۱وزارت علوم، تحقیقات و فناوری - دانشگاه سمنانحمیدرضا چله کش

    در این پایان نامه دسته ای از حلقه ها که مدول های تصویری روی آنها جمع مستقیمی از مدول های متناهی مولدند را مشخص می کنیم، و همچنین مثالهایی از حلقه هایی با این خاصیت و بدون این خاصیت می آوریم.f-حلقه ها را معرفی می کنیم و مشاهده می کنیم که حلقه هایی که مدول های تصویری روی آنها جم مس

  • بررسی هم متناهی بودن فانکتورهای توسیع مدول های هم متناهی

    پایان‌نامه۲۰۱۲وزارت علوم، تحقیقات و فناوری - دانشگاه اراک - دانشکده علومزهرا بصیری

    بررسی هم متناهی بودن فانکتورهای توسیع مدول های هم متناهی نسبت به یک ایده آل موضوع اصلی این رساله می باشد. در این راستا به بیان و اثبات چندین قضیه می پردازیم. بدین منظور فرض کنید r یک حلقه جابجایی و نوتری و i ایده آلی از r باشد. فرض کنید m و n دو –r مدول ناصفر باشند. نشان می دهیم

  • هم متناهی بودن فانکتور های توسیع مدول های هم متناهی

    پایان‌نامه۲۰۱۱وزارت علوم، تحقیقات و فناوری - دانشگاه تبریزثریا صادقی

    در این پایان نامه فرض می کنیم r یک حلقه جابجایی، نوتری و i ایده آلی از r و m وn ، -rمدول های غیر صفر باشند. نشان می دهیم که اگر m، -iهم متناهی،n با تولید متناهی و dimn?2 باشد، آنگاه برای هرi?0 ،(n,m) ? ext?_r^iیک -rمدول -iهم متناهی است. بعلاوه نشان میدهیم که اگرdimm?1 ، آنگاه برا

  • مطالعه ی خواص متناهی بودن فانکتورهای توسیع مدول های هم متناهی

    پایان‌نامه۲۰۱۴وزارت علوم، تحقیقات و فناوری - دانشگاه محقق اردبیلی - دانشکده علوم ریاضیمهدی نیسی

    فرض کنید ‎$r$‎ یک حلقه ی جابجایی، یکدار، نوتری و ‎$m$‎ یک ‎$r$-‎مدول غیرصفر باشد. بررسی خواص متناهی بودن یا نبودن فانکتور توسیع در جبر همولوژی از اهمیت خاصی برخوردار است. هدف اصلی بررسی روابط بین مدول های هم متناهی، با تولید متناهی و فانکتور توسیع می باشد. فرض کنید ‎$i$‎ ایده آلی

  • خواص متناهی تابعگون های توسیع روی مدول های هم متناهی

    پایان‌نامه۲۰۱۴دانشگاه بین المللی امام خمینی (ره) - قزوین - دانشکده علوم پایهسمیه رجبی

    فرض کنید r حلقه نوتری و جابجایی باشد. فرض کنید i ایده آلی از حلقه r و t یک r-مدول ناصفر و i-هم متناهی باشد به طوری که1 ?(dim(t. در این پایان نامه نشان می دهیم که برای هر عدد صحیح0 ? ext(n,t),i متناهی مولد است که از آن نتیجه می شود اگرi دارای بعد یک باشد آن گاه برای هر عدد صحیح0?

  • هم متناهی و متناهی بودن مدول های کوهمولوژی موضعی تعمیم یافته

    پایان‌نامه۲۰۱۱وزارت علوم، تحقیقات و فناوری - دانشگاه تبریز - دانشکده علوم ریاضیلیلا عبدی قزلقیه

    فرض می کنیم r ‎ یک حلقه موضعی (نوتری) و جابجایی‏، ‎‎‎‎i‎ یک ایده آلی از ‎‎‎‎r‎ و ‎‎‎‎m‎‎‏، ‎n‎‎‎‎ دو ‎‎-r‎ مدول با تولید متناهی باشند. پس از بررسی خواص اساسی مدول‎‎های h‎‎‎‎_{‎i‎}‎^{‎i‎}‎(m,n) ‎‎ ‎نشان می دهیم‎‎ که ‎‎ f-depth (i+ann_{r}(m),n) = inf{ i?n_{0 | نیست آرتینیh_{i}^{i}(