Rings in which Every Simple Right R-Module is Flat | Zendy

Raida Mahmood | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Rings in which Every Simple Right R-Module is Flat

Author(s) -

Raida Mahmood

Publication year - 2004

Publication title -

maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/al-rafidain journal for computer sciences and mathematics

Language(s) - English

Resource type - Journals

eISSN - 2311-7990

pISSN - 1815-4816

DOI - 10.33899/csmj.2004.164099

Subject(s) - simple (philosophy) , mathematics , prime (order theory) , ring (chemistry) , simple module , simple ring , zero (linguistics) , pure mathematics , combinatorics , principal ideal ring , chemistry , commutative ring , philosophy , linguistics , organic chemistry , epistemology , commutative property

The objective of this paper is to initiate the study of rings in which each simple right R-module is flat, such rings will be called right SF-rings. Some important properties of right SF- rings are obtained. Among other results we prove that: If R is a semi prime ERT right SF-ring with zero socle, then R is a strongly regular ring.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research