Lattice decomposition of modules over commutative rings (Q6144945)
From MaRDI portal
scientific article; zbMATH DE number 7785080
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lattice decomposition of modules over commutative rings |
scientific article; zbMATH DE number 7785080 |
Statements
Lattice decomposition of modules over commutative rings (English)
0 references
8 January 2024
0 references
The article is devoted to modules $M$ over commutative rings. Their lattice decomposition is studied. For this purpose prime ideals associated with $M$ and partitions of Supp($M$) are investigated, where $M$ denotes the module. It is shown, that the lattice decomposition is a local property.
0 references
module
0 references
ring
0 references
commutative
0 references
lattice
0 references
decomposition
0 references
Grothendieck category
0 references
