Addendum to "Finitely Embedded Commutative Rings"
Copyright policy )Addendum to "Finitely Embedded Commutative Rings"
This addendum to the author's paper [ibid. 112, No. 3, 657-659 (1991; Zbl 0744.13005)] supplies a reference omitted from there and proves the following consequence of its main result: A commutative ring is Artinian if and only if it is a Goldie quotient ring with nil Jacobson radical.
Artinian rings and modules (associative rings and algebras), Commutative rings and modules of finite generation or presentation; number of generators, Artinian, Goldie quotient, Chain conditions on annihilators and summands: Goldie-type conditions, Commutative Artinian rings and modules, finite-dimensional algebras, Quasi-Frobenius rings
Artinian rings and modules (associative rings and algebras), Commutative rings and modules of finite generation or presentation; number of generators, Artinian, Goldie quotient, Chain conditions on annihilators and summands: Goldie-type conditions, Commutative Artinian rings and modules, finite-dimensional algebras, Quasi-Frobenius rings
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!