On the torsion free cover of the $k[x_1,x_2,...,x_n]$-module k

Jenda, Overtoun M.G.

Displaying similar documents to “On the torsion free cover of the $k [x_{1}, x_{2}, . . ., x_{n}]$ -module k”

Cotorsion modules for torsion theories

Henderson, J., Orzech, M. (1977)

Portugaliae mathematica

Similarity:

Torsion Part of ℤ-module

Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama (2015)

Formalized Mathematics

Similarity:

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].

Rings admitting torsion injective covers

Ahsan, J., Enochs, E. (1981)

Portugaliae mathematica

Similarity:

Arbitrarily large indecomposable divisible torsion modules over certain valuation domains

L. Fuchs (1986)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

S-torsion free modules

M. Rauf Quershi (1973)

Fundamenta Mathematicae

Similarity:

On torsionfree classes which are not precover classes

Ladislav Bican (2008)

Czechoslovak Mathematical Journal

Similarity:

In the class of all exact torsion theories the torsionfree classes are cover (precover) classes if and only if the classes of torsionfree relatively injective modules or relatively exact modules are cover (precover) classes, and this happens exactly if and only if the torsion theory is of finite type. Using the transfinite induction in the second half of the paper a new construction of a torsionfree relatively injective cover of an arbitrary module with respect to Goldie’s torsion theory...

Testing for Cotorsionness over Domains

László Fuchs, Rüdiger Göbel (2007)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

Cotorsion Properties

Otto Gerstner (1975)

Publications mathématiques et informatique de Rennes

Similarity:

Displaying similar documents to “On the torsion free cover of the k [ x 1 , x 2 , . . . , x n ] -module k”

Displaying similar documents to “On the torsion free cover of the $k [x_{1}, x_{2}, . . ., x_{n}]$ -module k”