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The rank of a latin square associated to an abelian group
Communications in Algebra, 2000Let be a finite abelian group, where pi (1 ≤ i ≤ r) are (not necessarily distinct) odd primes. Suppose . Using a result of Carlitz and Moser, we show that . Consequently, we prove that the rank of any Latin square associated with the group G is at least . This sharpens a result in [2].
Leung, K.H., Ling, S.
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The pseudorational rank of an abelian group
Siberian Mathematical Journal, 2005Summary: We study finite-rank torsion-free Abelian groups and quotient divisible mixed groups. We consider the pseudorational rank, a new invariant for finite-rank torsion-free groups which was introduced by \textit{A. A. Fomin} [in Trends in Mathematics, 87-100 (1999; Zbl 0947.20037)], and establish its connection with the usual rank.
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The Non-Slender Rank of an Abelian Group
1984For 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
2013Ngcibi, 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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Cancer statistics for African American/Black People 2022
Ca-A Cancer Journal for Clinicians, 2022Angela Giaquinto +2 more
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