Titlebook: Abelian Groups and Modules; Proceedings of the U R. Göbel,C. Metelli,L. Salce Conference proceedings 1984 CISM Udine 1984 Abelian group.bir

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,7. Kapitel Völkerschlachtdenkmal,older somewhat neglected theory of extensions of torsion groups by torsion-free groups. The purpose of these notes is to introduce an alternative approach by considering the torsion subgroup and a full torsion-free subgroup as of equal status, and likewise for a torsion-free and a torsion factor group.

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https://doi.org/10.1007/978-3-7091-2814-5Abelian group; birth; Laszlo

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Oratory

Kapitel X Auf dem Weg zur Zweiten Moderneand on the other hand are of interest in their own right. In this latter regard, there has been some progress in getting structure theorems for certain valuated groups. Complete sets of invariants have been provided for finite direct sums of cyclic valuated p-groups [HRW1], for finite simply present

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Concomitant

Myelin

,7. Kapitel Völkerschlachtdenkmal,roup of minimal index i(G). Every two regulating subgroups are isomorphic but he showed that there can exist two regulating subgroups with nonisomorphic factorgroups. For an almost completely decomposable group G let J(G) denote the set of factorgroups {G/W | W a regulating subgroup of G} . One can

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,7. Kapitel Völkerschlachtdenkmal,ex. A completely decom — posable subgroup of an almost completely decomposable group of minimal index is called regulating subgroup by Lady [4]. The intersection of all regulating subgroups of A is the regulator R= R(A). Burkhardt [2] proved, that the regulator is completely decomposable. The regula

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,11. Kapitel I.G.-Farben-Verwaltungsgebäude,n particular, homological properties of the E-module G have been the focus of a number of papers (see (2), (7), (8)). In (2) the structure of finite rank groups G such that G was E-projective was determined, while in (7) the injective hull of G as an E-module was investigated. In the latter paper th

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https://doi.org/10.1007/978-3-658-06957-5(5.3) in [CG]. A (generalized) rigid system at the cardinal ρ will be a set G. (i∈p) of R-modules of power λ such that the endomorphism algebra Ena G. coincides with a prescribed R-algebra A modulo some “inessential” endomorphisms which form an ideal Ines G.. Furthermore Hom(G.,G.) consists of iness