bl-جبرهای(نیم)توپولوژیکی

thesis
abstract

رساله حاضر بررسی و شرحی پیرامون تحقیقات انجام شده توسط نگارنده بر‎-bl‎جبرهای (نیم)توپولوژیکی است. ‏ در این رساله پس از ارایه پیش نیازهای لازم‏، نتایج جبری که در ضمن این تحقیقات بدست آمده است را آورده ایم. پس از تعریف bl‎‎‎‏-جبرهای (نیم) توپولوژیکی و بررسی برخی خواص آنها تاثیر اصول جداسازی بر آنها و ‎‎‎‎bl‎‎‏-جبرهای خارج قسمتی (نیم) توپولوژیکی مورد بحث قرار گرفته است. در ضمن مطالعه مترپذیری مفهوم نرم و پیش نرم حاصل گردید. بدین منظور فصلی را به مطالعه آنها اختصاص داده ایم. با کمک تعریف شبه فیلتر همسایگی شرایط متر پذیری بررسی شده است. سرانجام در فصل آخر نشان می دهیم که سه ساختار شبه یکنواخت روی ‎‎‎‎bl‎‎‎‏-جبرها وجود دارد به طوریکه تتمیم آنها ‎‎‎‎bl‎‎‎‏-جبری است که ‎bl‎‎‎‏-جبر زمینه را به عنوان زیرفضایی چگال در بر دارد.

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document type: thesis

وزارت علوم، تحقیقات و فناوری - دانشگاه سیستان و بلوچستان

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