منابع مشابه
On Extensions of Primary Almost Totally Projective Abelian Groups
Suppose G is a subgroup of the reduced abelian p-group A. The following two dual results are proved: (∗) If A/G is countable and G is an almost totally projective group, then A is an almost totally projective group. (∗∗) If G is countable and nice in A such that A/G is an almost totally projective group, then A is an almost totally projective group. These results somewhat strengthen theorems du...
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This result has been generalized in various directions, e.g. replacing the ground ring Z by a more general ring and dropping the cardinal restriction (in Corner’s result this is actually |A| < 20), see [2], [20], [8], [9], [4], [23]. Other extensions include abelian groups which are not necessarily torsionfree, see Corner, Göbel [4] for references. Here we are interested in a different strength...
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We define and investigate the class of almost ω1-n-simply presented p-torsion abelian groups, which class properly contains the subclasses of almost n-simply presented groups and ω1-n-simply presented groups, respectively. The obtained results generalize those obtained by us in Korean J. Math. (2014) and J. Algebra Appl. (2015).
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The study of nonlinear properties of Boolean functions is one of the major tasks in secret-key cryptography. But the adjective "nonlinear" has several meanings: it can be related to the resistance against the famous differential attack [2] and, in this interpretation, actually refers to (almost) perfect nonlinear functions. Moreover nonlinearity is also related to the maximum magnitude of the F...
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Throughout all groups are abelian. We say a group G is n-divisible if nG = G. If G has no non-zero n-divisible subgroups for all n>1 then we say that G is absolutely non-divisible. In the study of class C consisting all absolutely non-divisible groups such as G, we come across the sub groups T_p(G) = the sum of all p-divisible subgroups and rad_p(G) = the intersection of all p^nG. The proper...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1979
ISSN: 0022-4049
DOI: 10.1016/0022-4049(79)90039-2