Asymptotic Estimates on Finite Abelian Groups
C. Calderón (2003)
Publications de l'Institut Mathématique
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Displaying similar documents to “Near-rings of continuous functions on compact abelian groups.”
Asymptotic Estimates on Finite Abelian Groups
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A Note on Additive Groups of Some Specific Associative Rings
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Almost complete description of abelian groups (A, +, 0) such that every associative ring R with the additive group A satisfies the condition: every subgroup of A is an ideal of R, is given. Some new results for SR-groups in the case of associative rings are also achieved. The characterization of abelian torsion-free groups of rank one and their direct sums which are not nil-groups is complemented using only elementary methods.
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Identifying and distinguishing various varieties of abelian topological groups
Carolyn E. McPhail, Sidney A. Morris
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A variety of topological groups is a class of (not necessarily Hausdorff) topological groups closed under the operations of forming subgroups, quotient groups and arbitrary products. The variety of topological groups generated by a class of topological groups is the smallest variety containing the class. In this paper methods are presented to distinguish a number of significant varieties of abelian topological groups, including the varieties generated by (i) the class of all locally...