fuzzy subgroups of rank two abelian p-group

Authors

s ngcibi

v murali

b. b makamba

abstract

in this paper we enumerate fuzzy subgroups, up to a natural equivalence, of some finite abelian p-groups of rank two where p is any prime number. after obtaining the number of maximal chains of subgroups, we count fuzzy subgroups using inductive arguments. the number of such fuzzy subgroups forms a polynomial in p with pleasing combinatorial coefficients. by exploiting the order, we label the subgroups of maximal chains in a special way which enables us to count the number of fuzzy subgroups.

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Journal title:

iranian journal of fuzzy systems

Publisher: university of sistan and baluchestan

ISSN 1735-0654

volume 7

issue 2 2010

Keywords

equivalence fuzzy subgroup p groups keychain

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