Results 241 to 250 of about 12,672,108 (295)
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Continuous Combinatorics of Abelian Group Actions
Memoirs of the American Mathematical Society, 2018This paper develops techniques which are used to answer a number of questions in the theory of equivalence relations generated by continuous actions of abelian groups.
Su Gao +3 more
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The Balmer spectrum of the equivariant homotopy category of a finite abelian group
Inventiones Mathematicae, 2017For a finite abelian group A, we determine the Balmer spectrum of SpAω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek ...
T. Barthel +5 more
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On the ring of inertial endomorphisms of an abelian group
, 2014An endomorphisms $${\varphi }$$φ of an abelian group $$A$$A is said inertial if each subgroup $$H$$H of $$A$$A has finite index in $$H+\varphi (H)$$H+φ(H). We study the ring of inertial endomorphisms of an abelian group.
Ulderico Dardano, Silvana Rinauro
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Journal of Soviet Mathematics, 1982
This fifth survey of reviews on abelian groups comprises papers reviewed in 1985-1992. Just as in the preceding surveys, the issues concerning finite abelian groups, topological groups, ordered groups, group algebras, modules (with rare exceptions), and topics on logic are not considered.
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This fifth survey of reviews on abelian groups comprises papers reviewed in 1985-1992. Just as in the preceding surveys, the issues concerning finite abelian groups, topological groups, ordered groups, group algebras, modules (with rare exceptions), and topics on logic are not considered.
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Nilpotency of Abelian-by-Abelian groups
Mathematical Notes of the Academy of Sciences of the USSR, 1988See the review in Zbl 0639.20017.
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The spanning number and the independence number of a subset of an abelian group
Let A = {a 1, a 2, …, a m } be a subset of a finite abelian group G. We call A t-independent in G, if whenever $$ \lambda _1 a_1 + \lambda _2 a_2 + ... + \lambda _m a_m = 0 $$ for some integers λ1, λ 2,…, λ m with $$ |\lambda _1 | + \lambda _2 |
B. Bajnok
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Siberian Mathematical Journal, 1997
Let \(A\) be a group. If \(a_1,\ldots,a_n\in A\) then, when considering a model \((A,a_1,\ldots,a_n)\), we assume that the elements \(a_1,\ldots,a_n\) are distinguished as constants. If models \(A\) and \(B\) are elementarily equivalent then we write \(A\equiv B\).
N. G. Khisamiev, B. S. Kalenova
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Let \(A\) be a group. If \(a_1,\ldots,a_n\in A\) then, when considering a model \((A,a_1,\ldots,a_n)\), we assume that the elements \(a_1,\ldots,a_n\) are distinguished as constants. If models \(A\) and \(B\) are elementarily equivalent then we write \(A\equiv B\).
N. G. Khisamiev, B. S. Kalenova
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Purity in abelian groups [PDF]
Algebra and Logic, 1992 Recall that a purity \(\omega\) in the category of \(R\)-modules is said to be injectively closed if a monomorphism \(i\) belongs to \(\omega\) if and only if each \(\omega\)-injective module is injective with respect to \(i\). It is proved that an injectively closed purity \(\omega\) in the category of abelian groups is completely determined by ...
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Actions of abelian groups on groups
Journal of Group Theory, 2007Let G be a group and A a finitely generated abelian subgroup of Aut(G). If G is the union of a finitely many A-orbits then G is finite.
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Journal of Mathematical Sciences, 2006
The paper deals with torsion free Abelian groups of finite rank and provides relations between pureness, servantness, and quasi-decompositions for such groups. In particular, endopure and servant submodules for Abelian groups of rank 3 and for strongly indecomposable groups are classified.
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The paper deals with torsion free Abelian groups of finite rank and provides relations between pureness, servantness, and quasi-decompositions for such groups. In particular, endopure and servant submodules for Abelian groups of rank 3 and for strongly indecomposable groups are classified.
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