Centrally Essential Factor Rings and Subdirect Indecomposability

Oleg Lyubimtsev, Askar Tuganbaev

Let $R$ be a ring and let $J(R)$, $C(R)$ be its Jacobson radical and center, correspondingly. If $R$ is a centrally essential ring and the factor ring $R/J(R)$ is commutative, then…