Paper Info
Title
Prime Ideal Theory for General Algebras
Abstract
We introduce ideals, radicals and prime ideals in arbitrary algebras with at least one binary operation, and we show that various separation lemmas and prime ideal theorems are special instances of one general theorem which, in turn, is equivalent to the Boolean Prime Ideal Theorem (or Ultrafilter Principle).
Year
DOI
Venue
2000
10.1023/A:1008611926427
Applied Categorical Structures
Keywords
Field
DocType
closure system,cm,-lattice,distributive,ideal,locale,prime,quantale,radical,residuated,semiprime
Prime (order theory),Topology,Discrete mathematics,Prime number,Associated prime,Minimal ideal,Prime element,Ideal (order theory),Boolean prime ideal theorem,Prime ideal,Mathematics
Journal
Volume
Issue
ISSN
8
1-2
1572-9095
Citations 
PageRank 
References 
3
0.71
0
Authors
1
Name
Order
Citations
PageRank
Marcel Erné12910.77