Criteria for a Ring to have aLeft Noetherian Largest Left Quotient Ring
Bavula, V.V.
(2018)
Criteria for a Ring to have aLeft Noetherian Largest Left Quotient Ring.
Algebras and Representation Theory, 21 (2).
pp. 359-373.
ISSN 1386-923X
Abstract
Criteria are given for a ring to have a left Noetherian largest left quotient ring.
It is proved that each such a ring has only finitely many maximal left denominator sets.
An explicit description of them is given. In particular, every left Noetherian ring has only
finitely many maximal left denominator sets.
Goldie’s Theorem; The left quotient ring of a ring; The largest left quotient
ring of a ring; A maximal left denominator set; The left localization radical of a ring;
An Ore set; A left denominator set; The prime radical
CORE (COnnecting REpositories)
CORE (COnnecting REpositories)