Extreme properties of products of invariant factors (Q908968)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Extreme properties of products of invariant factors |
scientific article; zbMATH DE number 4136082
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extreme properties of products of invariant factors |
scientific article; zbMATH DE number 4136082 |
Statements
Extreme properties of products of invariant factors (English)
0 references
1990
0 references
Let L be a free module of finite rank over a principal ideal domain, let M be a submodule of L with invariant factors \(\alpha_ 1| \alpha_ 2|...| \alpha_ r\). Products of the form \(\alpha_{k_ 1}\alpha_{k_ 2}...\alpha_{k_ s}\), \(1\leq k_ 1<...<k_ s\leq r\), are described by lcm's and gcd's of weights of rank s direct summands of L.
0 references
free module
0 references
principal ideal domain
0 references
invariant factors
0 references
lcm
0 references
gcd
0 references
