Results 211 to 220 of about 120,594 (244)
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Local Abelian Torsion-Free Groups
Journal of Mathematical Sciences, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Isomorphic Group Rings of Free Abelian Groups
Canadian Journal of Mathematics, 1982S. K. Sehgal ([9], Problem 26) proposed the following question : Let A, B be rings and X an infinite cyclic group. Does AX ⋍ BX imply A ⋍ B? M. M. Parmenter and S. K. Sehgal (cf. [9], Chapter 4) proved that, under some strong assumptions concerning rings A, B, the answer is affirmative.
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Sum-free sets in abelian groups
Israel Journal of Mathematics, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lev, Vsevolod +2 more
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2000
There are two equivalence relations on torsion-free abelian groups that are weaker than group isomorphism, namely quasi-isomorphism and isomorphism at a prime p. Properties of these equivalence relations are conveniently expressed in a categorical setting.
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There are two equivalence relations on torsion-free abelian groups that are weaker than group isomorphism, namely quasi-isomorphism and isomorphism at a prime p. Properties of these equivalence relations are conveniently expressed in a categorical setting.
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Free subgroups of free abelian topological groups
Mathematical Proceedings of the Cambridge Philosophical Society, 1986In this paper we prove a theorem which gives general conditions under which the free abelian topological group F(Y) on a space Y can be embedded in the free abeian topological group F(X) on a space X.
Katz, E., Morris, S. A., Nickolas, P.
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