Weak baer modules localized with respect to a torsion theory
Seog Hoon Rim, Mark L. Teply (1998)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Relative multiplication and distributive modules”
Weak baer modules localized with respect to a torsion theory
A weaker form of Baer’s splitting problem for torsion theories
Mark L. Teply, Blas Torrecillas (1993)
Czechoslovak Mathematical Journal
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Divisible ℤ-modules
Yuichi Futa, Yasunari Shidama (2016)
Formalized Mathematics
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In this article, we formalize the definition of divisible ℤ-module and its properties in the Mizar system [3]. We formally prove that any non-trivial divisible ℤ-modules are not finitely-generated.We introduce a divisible ℤ-module, equivalent to a vector space of a torsion-free ℤ-module with a coefficient ring ℚ. ℤ-modules are important for lattice problems, LLL (Lenstra, Lenstra and Lovász) base reduction algorithm [15], cryptographic systems with lattices [16] and coding theory [8]. ...
Classes of modules related to Serre subcategories.
Crivei, Septimiu, Crivei, Iuliu (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Multiplication modules and related results
Shahabaddin Ebrahimi Atani (2004)
Archivum Mathematicum
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Let be a commutative ring with non-zero identity. Various properties of multiplication modules are considered. We generalize Ohm’s properties for submodules of a finitely generated faithful multiplication -module (see [8], [12] and [3]).