On Determinability of a Completely Decomposable Torsion-Free Abelian Group by its Automorphism Group
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DOI: 10.1007/s10958-018-3742-z
Abstract: In this paper, we consider the question of determinability of an Abelian group by its automorphism group in the class of completely decomposable torsion-free Abelian groups whose direct summands of rank 1 have idempotent types. read more here.
Keywords: abelian group; decomposable torsion; group; automorphism group ... See more keywords
Eparability of Schur Rings Over an Abelian Group of Order 4p
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DOI: 10.1007/s10958-019-04563-9
Abstract: An $S$-ring (a Schur ring) is said to be separable with respect to a class of groups $\mathcal{K}$ if every its algebraic isomorphism to an $S$-ring over a group from $\mathcal{K}$ is induced by a… read more here.
Keywords: abelian group; group; schur rings; group order ... See more keywords
MOD-2 (CO)homology of an Abelian Group
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DOI: 10.1007/s10958-021-05200-0
Abstract: It is known that for a prime $p\ne 2$ there is the following natural description of the homology algebra of an abelian group $H_*(A,\mathbb F_p)\cong \Lambda(A/p)\otimes \Gamma({}_pA)$ and for finitely generated abelian groups there is… read more here.
Keywords: mod homology; abelian group; mathbb; homology ... See more keywords
On reconstruction from discrete local moving averages on locally compact abelian groups
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DOI: 10.1016/j.jmaa.2018.04.052
Abstract: Abstract Let G be a locally compact abelian group and μ be a compactly supported discrete measure on G. We analyse the range of the operator C μ : C ( G ) ⟶ C… read more here.
Keywords: abelian group; local moving; discrete local; locally compact ... See more keywords
Sums of sets of abelian group elements
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DOI: 10.1016/j.jnt.2019.07.026
Abstract: Abstract Text For a positive integer k, let f ( k ) denote the largest integer t such that for every finite abelian group G and every zero-sum free subset S of G, if |… read more here.
Keywords: abelian group; group; sums sets; group elements ... See more keywords
On elements of order 2 in the free centre-by-(nilpotent of class 3)-by-abelian group within the variety of all soluble groups of derived length 3
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DOI: 10.1080/00927872.2021.1894165
Abstract: Abstract Let F be a free group of rank Consider the quotient the free centre-by-(nilpotent of class 3)-by-abelian group within the variety of all soluble groups of derived length 3. A peculiar feature of this… read more here.
Keywords: abelian group; group; centre nilpotent; nilpotent class ... See more keywords
Abelian groups whose nonzero endomorphisms have nonessential kernels
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DOI: 10.1142/s0219498817500487
Abstract: In this paper, we describe completely the ????-singular subgroup of an abelian group and a ????-nonsingular abelian group in terms of the basic subgroups of its p-components and the quotient group by the torsion part.… read more here.
Keywords: group nonsingular; abelian group; nonsingular abelian; group ... See more keywords
The real genus spectrum of abelian groups
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DOI: 10.1142/s0219498819501585
Abstract: Let [Formula: see text] denote the set of positive integers that may appear as the real genus of a finite abelian group. We obtain a set of (simple) necessary conditions for an integer [Formula: see… read more here.
Keywords: spectrum abelian; genus spectrum; abelian group; formula see ... See more keywords
Salamander lemma for non-abelian group-like structures
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DOI: 10.1142/s021949882050022x
Abstract: It is well known that the classical diagram lemmas of homological algebra for abelian groups can be generalized to non-abelian group-like structures, such as groups, rings, algebras, loops, etc. In this paper, we establish such… read more here.
Keywords: salamander lemma; like structures; non abelian; abelian group ... See more keywords