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The fuzzy subgroups for the abelian structure Z8 x Z2n , n > 2

Any finite nilpotent group can be uniquely written as a direct product of p-groups. In this paper, we give explicit formulae for the number of distinct fuzzy subgroups of the cartesian product of two abelian groups of orders 2n and 8 respectively for every integer n > 2 .

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Published: 2020
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LEADER 00000njm a2000000a 4500
001 oai:repository.ui.edu.ng:123456789/7919
042 |a dc 
720 |a Adebisi, S. A.  |e author 
720 |a Ogiugo, M.  |e author 
720 |a EniOluwafe, M.  |e author 
260 |c 2020 
520 |a Any finite nilpotent group can be uniquely written as a direct product of p-groups. In this paper, we give explicit formulae for the number of distinct fuzzy subgroups of the cartesian product of two abelian groups of orders 2n and 8 respectively for every integer n > 2 . 
024 8 |a 0189-8965 
024 8 |a ui_art_adebisi_fuzzy_2020 
024 8 |a Journal of the Nigerian Mathematical Society 39(2), pp. 167-171 
024 8 |a http://ir.library.ui.edu.ng/handle/123456789/7919 
653 |a Finite p-Groups 
653 |a Abelian Group 
653 |a Fuzzy subgroups 
653 |a Iisomorphic 
653 |a Inclusion-Exclusion Principle 
653 |a Maximal sub- groups 
245 0 0 |a The fuzzy subgroups for the abelian structure Z8 x Z2n , n > 2