Jacobson's conjecture
In abstract algebra, Jacobson's conjecture is an open problem in ring theory concerning the intersection of powers of the Jacobson radical of a Noetherian ring. It has only been proven for special types of Noetherian rings, so far. Examples exist to show that the conjecture can fail when the ring is not Noetherian on a side, so it is absolutely necessary for the ring to be two-sided Noetherian. The conjecture is named for the algebraist Nathan Jacobson who posed the first version of the conjecture.
Jacobson's conjecture
In abstract algebra, Jacobson's conjecture is an open problem in ring theory concerning the intersection of powers of the Jacobson radical of a Noetherian ring. It has only been proven for special types of Noetherian rings, so far. Examples exist to show that the conjecture can fail when the ring is not Noetherian on a side, so it is absolutely necessary for the ring to be two-sided Noetherian. The conjecture is named for the algebraist Nathan Jacobson who posed the first version of the conjecture.
has abstract
In abstract algebra, Jacobson' ...... rst version of the conjecture.
@en
抽象代数学において、ジャコブソン予想 (Jacobson's ...... Nathan Jacobson にちなんで名づけられている。
@ja
Wikipage page ID
35,458,818
Wikipage revision ID
725,439,300
subject
hypernym
type
comment
In abstract algebra, Jacobson' ...... rst version of the conjecture.
@en
抽象代数学において、ジャコブソン予想 (Jacobson's ...... Nathan Jacobson にちなんで名づけられている。
@ja
label
Jacobson's conjecture
@en
ジャコブソン予想
@ja