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Register a new userStudy of Isomorphism Between Lattice Groups And Fuzzy Groups
دراسة الإيزومورفيزم بين شبكات الزمر و الزمر الضبابية
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Added by
Tishreen University ورقة بحثية
Publication date
2017
fields
Mathematics
and research's language is
العربية
Authors
جميل محمد( باحث )
Created by
Shamra Editor
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تهدف هذه الدراسة إلى الإجابة عن السؤال الآتي : بفرض أن G و G' زمرتان (ضبابيتان ) و أن L(G) و L(G') الشبكتان المبينتان عليهما على الترتيب. لقد بينا أن هذا الاقتضاء ليس صحيحاً في الحالة العامة و لكن بوضع بعض الشروط المحددة على هذه الزمر يكون الاقتضاء صحيحاً و قد أعطينا هذه الشروط و استطعنا البرهان على بعض المبرهنات الهامة.
The objective of this studying is the important answer on the following open question : Let G and G' be two fuzzy groups and L(G), L(G') be lattices for them, respectively, We have shown that this statement don’t true in the case general, and we suppose some certain conditions on the purposed groups to be the statement holds. Moreover, some important theorems are proved
References used
BEAR R., The Signification of the System of Subgroups for the Structure of a Group. Amer .Jor. Math. Vol. 71. (1974) pp.1-44
BEAR S., Groups Which are Determined by Subgroup Lattice. Special Issue . (2009)pp.444-463
SHCHMIDT R., Subgroup Lattice of Group. Springer-Verlage, Berlin, 446 pages ,1974
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