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hull-kernel topology
noun phrase
[L1482772]
Compounds
Combines
topology
,
hull
,
kernel
Forms
singular :
hull-kernel topology
plural :
hull-kernel topologies
Senses
a standard topology used in commutative algebra and functional analysis, especially in the study of rings and operator algebras; the topology placed on the set of ideals of a ring (often prime ideals or primitive ideals) by relating two dual notions: the hull of a set of ideals = the set of elements common to all those ideals (an intersection), the kernel of a set of ring elements = the set of ideals containing those elements