Study of Isomorphism Between Lattice Groups And Fuzzy Groups
published by Tishreen University
in 2017
in Mathematics
and research's language is
العربية
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Abstract in English
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