Premium
Factorization into prime and invertible ideals II
Author(s) -
Olberding Bruce
Publication year - 2009
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdp017
Subject(s) - prime (order theory) , invertible matrix , ideal (ethics) , mathematics , prime ideal , factorization , associated prime , class (philosophy) , semiprime ring , boolean prime ideal theorem , unique factorization domain , commutative ring , pure mathematics , minimal ideal , commutative property , algebra over a field , maximal ideal , combinatorics , computer science , artificial intelligence , algorithm , political science , law
We examine the commutative rings for which every proper ideal has a proper prime factor. Among this class of rings, we classify the rings for which every proper ideal is a product of invertible and prime ideals. This continues and corrects a classification begun in an earlier paper.