Factorization into prime and invertible ideals II | Zendy

Olberding Bruce | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research