2026/04/11 by Oleg Lyubimtsev, Askar Tuganbaev
paper · doi:10.1142/s0218196726500268
crossref created 2026/03/30 · crossref issued 2026/04/11 · crossref published 2026/04/11 · crossref published-online 2026/04/11 · crossref deposited 2026/08/05 · crossref indexed 2026/08/05 · crossref published-print 2026/09/01
A non-zero unital ring R is said to be centrally essential if for every nonzero element a of R, there exist non-zero central elements x and y with [Formula: see text]. In the paper, almost fully prime centrally essential rings are described in terms of ideal extensions, centrally essential Dorroh extensions and trivial extensions.