On Centrally Essential Subrings of Formal Triangular Matrix Rings
Abstract
A ring R with a non-zero identity element is said to be centrally essential if for any non-zero element a∈ R, there exist non-zero central elements x,y∈ R such that ax = y. We describe centrally essential rings in a large subclass of formal triangular matrix rings and in a subclass of the matrix ring M3(R) over the ring R.
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