Torsion-free modules and syzygies.

Katz, D.

Displaying similar documents to “Torsion-free modules and syzygies.”

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Wolfson, Kenneth G. (1990)

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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)

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Torsion free exterior powers of a module and their resolutions.

Molica, Giovanni, Restuccia, Gaetana (2002)

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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 $p$ -adic modules

G. d'Este (1980)

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R. Göbel, B. Goldsmith (1991)

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Ahsan, Javed (1984)

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Vlastimil Dlab (1969)

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