On some of properties of Lie groups and Fuzzy Lie groups

Our aim of this paper is to study some properties of Lie groups and fuzzy Lie groups in many statements. So we can determine some properties of Lie groups and we prove on its by the Topological spaces constructing on the Lie groups as the Zero- dimensional space and connected space. In fuzzy Lie groups, we can also get some results and we prove on its in this paper.

on some properties of Lie groups and Fuzzy Lie groups for solution some of problems

The aim of this paper is to use some properties of Lie groups and fuzzy Lie groups in many statements to prove on some open problems, so we can prove on the lemma(1) and (2).

On the inverse limit of finite dimensional lie algebras

We extend the well Known Levi-Malcev decomposition theorem of finite dimensional Lie algebras to the case of pro-finite dimensional Lie algebras L = limLn (n ∈ N). We also prove that every finite dimensional homomorphic image of the Cartesian product of finite dimensional nilpotent Lie algebras is also nilpotent.

حل بعض مسائل التحليل الرياضي باستخدام أنواع من الزمر

يرتبط الإطار الرياضي لميكانيك الكم ارتباطاً وثيقاً بما يصفه علماء الرياضيات بنظريةتمثيل الزمر , درسنا في بحثنا هذا هذه الفكرة ببعض التفصيل