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Torsion free extending modules

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Range extender module

MTZ worldwide, 2009
The Range Extender as an auxiliary power supply for extended driving ranges is of significant importance in achieving a high level of customer acceptance for electric vehicles. The AVL concept is optimized for electric power generation in single-point operation and allows a compactly integrated, cost-efficient and weight-efficient module design.
Robert Fischer   +6 more
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Automorphism-Extendable and Endomorphism-Extendable Modules

Journal of Mathematical Sciences, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Extending Endo-monomial Modules

Algebra Colloquium, 2013
Let G be a finite group with a normal Sylow p-subgroup P. Let [Formula: see text] be a complete discrete valuation ring with residue field F of characteristic p. Let M be an indecomposable endo-monomial [Formula: see text]-module. In this paper we prove that M extends to an [Formula: see text]-module if and only if M is G-stable.
Lu, Ziqun, Zhang, Jiping
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Relatively Extending Modules

Algebras and Representation Theory, 2009
The author describes in a common language two generalizations of extending modules studied by \textit{P. F. Smith, D. V. Huynh} and \textit{N. V. Dung} [in Q. J. Math., Oxf. II. Ser. 41, No. 162, 225-235 (1990; Zbl 0712.16016)] and by \textit{J. Clark} [in Abelian groups and modules. Proc. int. conf. Dublin, 1998. Basel: Birkhäuser.
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Goldie Extending Modules

Communications in Algebra, 2009
In this article, we define a module M to be 𝒢-extending if and only if for each X ≤ M there exists a direct summand D of M such that X ∩ D is essential in both X and D. We consider the decomposition theory for 𝒢-extending modules and give a characterization of the Abelian groups which are 𝒢-extending.
Evrim Akalan   +2 more
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On generalized extending modules

Journal of Zhejiang University-SCIENCE A, 2007
A module \(M\) is called generalized extending if every submodule \(N\) of \(M\) is contained in a direct summand \(K\) of \(M\) such that \(K/N\) is a singular module. Basic properties of such modules are studied, including a characterization of those rings \(R\) such that every \(R\)-module is generalized extending.
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Automorphism-extendable modules

Discrete Mathematics and Applications, 2015
Abstract We study modules, in which all automorphisms of submodules may be extended to endomorphisms (automorphisms) of the whole module.
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Corrigendum To: Goldie Extending Modules

Communications in Algebra, 2010
This corrigendum is written to correct an error in Corollary 2.5(ii) and an error in the proof of the converse of Theorem 2.7 of Akalan, Birkenmeier, and Tercan [1].
Evrim Akalan   +2 more
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