Prime and primary \(L\)-fuzzy ideals of \(L\)-fuzzy rings (Q1302253)
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: Prime and primary \(L\)-fuzzy ideals of \(L\)-fuzzy rings |
scientific article; zbMATH DE number 1340715
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Prime and primary \(L\)-fuzzy ideals of \(L\)-fuzzy rings |
scientific article; zbMATH DE number 1340715 |
Statements
Prime and primary \(L\)-fuzzy ideals of \(L\)-fuzzy rings (English)
0 references
11 May 2000
0 references
This paper elaborates on the earlier introduced concept of a fuzzy ideal of an \(L\)-fuzzy ring where \(L\) denotes a totally distributive bounded lattice. More concretely the following notions are (re-)introduced in this framework: fuzzy prime ideal, primary fuzzy ideal and fuzzy radical of a fuzzy ideal. These notions are partially compared to previously introduced ones by other authors. Some elementary properties of these notions are mentioned.
0 references
\(L\)-fuzzy rings
0 references
fuzzy prime ideals
0 references
primary fuzzy ideals
0 references
fuzzy radicals
0 references
