A note on basic free modules and the condition.
Marcelo, Agustín, Marcelo, Félix, Rodríguez, César (2006)
Portugaliae Mathematica. Nova Série
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Displaying similar documents to “Torsion-free modules and syzygies.”
A note on basic free modules and the condition.
Locally free modules
Wolfson, Kenneth G. (1990)
Portugaliae mathematica
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The homological dimension of a torsion-free abelian group of finite rank as a module over its ring of endomorphisms
H. W. K. Angad-Gaur (1977)
Rendiconti del Seminario Matematico della Università di Padova
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Torsion free exterior powers of a module and their resolutions.
Molica, Giovanni, Restuccia, Gaetana (2002)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Torsion Part of ℤ-module
Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama (2015)
Formalized Mathematics
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In this article, we formalize in Mizar [7] the definition of “torsion part” of ℤ-module and its properties. We show ℤ-module generated by the field of rational numbers as an example of torsion-free non free ℤ-modules. We also formalize the rank-nullity theorem over finite-rank free ℤ-modules (previously formalized in [1]). ℤ-module is necessary for lattice problems, LLL (Lenstra, Lenstra and Lovász) base reduction algorithm [23] and cryptographic systems with lattices [24].
Torsion-free abelian groups and completely decomposable -adic modules
G. d'Este (1980)
Rendiconti del Seminario Matematico della Università di Padova
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On almost-free modules over complete discrete valuation rings
R. Göbel, B. Goldsmith (1991)
Rendiconti del Seminario Matematico della Università di Padova
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Some torsion theoretical characterizations of rings.
Ahsan, Javed (1984)
International Journal of Mathematics and Mathematical Sciences
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Matrix representation of torsion-free rings
Vlastimil Dlab (1969)
Czechoslovak Mathematical Journal
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