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math.RA2026
Extensions of Centrally Essential Rings
Oleg Lyubimtsev, Askar Tuganbaev
A non-zero unital ring is said to be centrally essential if for every nonzero element of , there exist non-zero central elements and with . In the paper,…
math.RA2026
On Centrally Essential Subrings of Formal Triangular Matrix Rings
Oleg Lyubimtsev, Askar Tuganbaev
A ring with a non-zero identity element is said to be centrally essential if for any non-zero element , there exist non-zero central elements such that $ax =…