Results 21 to 30 of about 813,424 (237)
On the Classification Problem for Rank 2 Torsion-Free Abelian Groups [PDF]
, 2000 We study here some foundational aspects of the classification problem for torsion-free abelian groups of finite rank. These are, up to isomorphism, the subgroups of the additive groups (Q^n, +), for some n = 1, 2, 3,....
Kechris, Alexander S.
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Intuitionistic Free Abelian Groups
Mathematical Logic Quarterly, 1988 The paper provides an intuitionistic construction of free abelian groups over arbitrary sets. It shows that a subgroup of a free abelian group is not necessarily itself free abelian, and that \(''free=projective''\Rightarrow full\) AC, for abelian groups. The paper uses Kripke models. The second part deals with the conditions for admitting an apartness
Dalen, D. van, Vries, F.-J. de
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On The Spectrum of Countable MV-algebras [PDF]
Transactions on Fuzzy Sets and Systems, 2023 In this paper we consider MV-algebras and their prime spectrum. We show that there is an uncountable MV-algebra that has the same spectrum as the free MV-algebra over one element, that is, the MV-algebra $Free_1$ of McNaughton functions from $[0,1]
Giacomo Lenzi
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Degrees of compression and inertia for free-abelian times free groups [PDF]
Journal of Algebra, 2019 We introduce the concepts of degree of inertia, $\text{di}_G(H)$, and degree of compression, $\text{dc}_G(H)$, of a finitely generated subgroup $H$ of a given group $G$.
Mallika Roy, E. Ventura
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The character of free topological groups I
Applied General Topology, 2005 A systematic analysis is made of the character of the free and free abelian topological groups on uniform spaces and on topological spaces. In the case of the free abelian topological group on a uniform space, expressions are given for the character in ...
Peter Nickolas, Mikhail Tkachenko
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On the rings of Fricke characters of free abelian groups [PDF]
, 2014 In this paper, we study the structure of the rings of Fricke characters of free abelian groups. More precisely, we consider a descending filtration of ideals in the ring, and give a basis of its graded quotients. Then by using this fact, we show that the
Eri Hatakenaka, T. Satoh
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Rocky Mountain Journal of Mathematics, 2002 An Abelian group \(A\) is \(M\)-free with basis \(X\) if \(X\) is a subset of \(A\) such that every map from \(X\) to the Abelian group \(M\) extends uniquely to a homomorphism from \(A\) to \(M\). Examples are split-\(M\)-free groups which are direct sums of the free group with basis \(X\) and a group which has only the zero homomorphism into \(M ...
Dugas, Manfred +2 more
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On Some Results of a Torsion-Free Abelian Trace Group
Recoletos Multidisciplinary Research Journal, 2014 In [6], givenany torsion-free abelian groups Gand H, the pure trace of Hin Gis *,:,GHHomfHfGHtr which is equivalent to the set ZnGHHomfHfngGgsomefor ,,:.The pure trace GHtr, is a pure fully invariant subgroup of G.
Ricky B. Villeta
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The Martin boundary of a free product of abelian groups [PDF]
Annales de l'Institut Fourier, 2017 Given a probability measure on a finitely generated group, its Martin boundary is a way to compactify the group using the Green function of the corresponding random walk. It is known from the work of W. Woess that when a finitely supported random walk on
Matthieu Dussaule
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Rainbow-free 3-colorings in abelian groups [PDF]
Electronic Notes in Discrete Mathematics, 2009 A $3$-coloring of the elements of an abelian group is said to be rainbow-free if there is no $3$-term arithmetic progression with its members having pairwise distinct colors. We give a structural characterization of rainbow-free colorings of abelian groups. This characterization proves a conjecture of Jungić et al. on the size of the smallest chromatic
Amanda Montejano, Oriol Serra
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