Large indecomposable modules in torsion theories.
Large superdecomposable E(R)-algebras
For many domains R (including all Dedekind domains of characteristic 0 that are not fields or complete discrete valuation domains) we construct arbitrarily large superdecomposable R-algebras A that are at the same time E(R)-algebras. Here "superdecomposable" means that A admits no (directly) indecomposable R-algebra summands ≠ 0 and "E(R)-algebra" refers to the property that every R-endomorphism of the R-module, A is multiplication by an element of, A.
Lattice of ℤ-module
In this article, we formalize the definition of lattice of ℤ-module and its properties in the Mizar system [5].We formally prove that scalar products in lattices are bilinear forms over the field of real numbers ℝ. We also formalize the definitions of positive definite and integral lattices and their properties. Lattice of ℤ-module is necessary for lattice problems, LLL (Lenstra, Lenstra and Lovász) base reduction algorithm [14], and cryptographic systems with lattices [15] and coding theory [9]....
Le spectre d'un anneau dans l'algèbre constructive et applications à la dimension
Length Formulas for the Local Cohomology of Exterior Powers.
Lengths of Submodule Chains Versus Krull Dimension in Non-Noetherian Modules.
Les modules projectifs de type fini sur un anneau de polynômes sur un corps sont libres
Liaison and related topics: notes from the Torino workshop-school.
Libération des modules projectifs sur certains anneaux de polynômes
Linear forms on free modules over certain local ring
Local Chern classes, multiplicities, and perfect complexes
Local Cohomology and the Cousin Complex for a Commutative Noetherian Ring.
Local D-Rings.
Local properties of licci ideals.
Loewy series of modules.
Longueurs de modules constructibles et valuations