Titlebook: Abelian Groups and Representations of Finite Partially Ordered Sets; David M. Arnold Book 2000 Springer Science+Business Media New York 20

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,11. Kapitel I.G.-Farben-Verwaltungsgeb?ude,Finite-dimensional vector spaces with finite sets of distinguished subspaces are illustrative examples of representations of finite posets. This provides a natural setting for equivalence and similarity of matrices, as demonstrated in the exercises.

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,11. Kapitel I.G.-Farben-Verwaltungsgeb?ude,There are two equivalence relations on torsion-free abelian groups that are weaker than group isomorphism, namely quasi-isomorphism and isomorphism at a prime .. Properties of these equivalence relations are conveniently expressed in a categorical setting.

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,7. Kapitel V?lkerschlachtdenkmal,Finite direct sums of torsion-free abelian groups of rank 1, called completely decomposable groups, can be classified in terms of types. Included in this section is a compilation of some of the fundamental properties of types and fully invariant subgroups determined by types.

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https://doi.org/10.1007/978-3-642-53805-6An almost completely decomposable group is a torsion-free abelian group . of finite rank quasi-isomorphic to a completely decomposable group. An almost completely decomposable group is a Butler group, by Corollary 3.2.4, but any strongly indecomposable Butler group with finite rank greater than 1 is not almost completely decomposable.

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The Impact of Wine Tourism on the Sustainability Outcomes of Spanish Wineries: An Exploration via Stto the ramifications of wine tourism on the holistic sustainability of Spanish wineries. Consequently, this inquiry holds instrumental value for academicians and industry practitioners pondering the initiation or augmentation of such tourism-centric initiatives within their establishments.

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On-Orbit Performance Analysis of AIUS/GF-5 Instrument,in, and acceleration to these “random” type forces do not have simple time histories either. Typical data for either the time behavior of a force or the response to that force at a point on an ocean structure might look like the trace shown in Fig. 9.1, where, for generality, the ordinate is designa