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The Non-Slender Rank of an Abelian Group

1984
For a family (Ai)i∈I of Abelian groups and a cardinal K we define the K-product \(\mathop \Pi \limits_{i \in I} {A_i}\) to be the subgroup of the cartesian product \({\mathop \Pi \limits_I ^{(K)}}A\) consisting of all elements which support is less than K. Let us write AI(K) instead of \({A^{I(w)}} = \mathop \oplus \limits_I A\), A(I) instead of (math)
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An explicit formula for the number of fuzzy subgroups of a finite abelian $p$-group\\ of rank two

2013
Ngcibi, Murali and Makamba [Fuzzy subgroups of rank two abelian$p$-group, Iranian J. of Fuzzy Systems {bf 7} (2010), 149-153]considered the number of fuzzy subgroups of a finite abelian$p$-group $mathbb{Z}_{p^m}times mathbb{Z}_{p^n}$ of rank two, andgave explicit formulas for the cases when $m$ is any positiveinteger and $n=1,2,3$.
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Rings on Abelian torsion-free groups of finite rank

Beitrage Zur Algebra Und Geometrie, 2021
Ekaterina Kompantseva, Askar Tuganbaev
exaly  

Full Rank Tilings of Finite Abelian Groups

SIAM Journal on Discrete Mathematics, 2006
Michael Dinitz
exaly  

On the rank of abelian groups acting freely on(S n ) k

Inventiones Mathematicae, 1982
Gunnar Carlsson
exaly  

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