A ring element a∈ R is said to be of right stable range one if, for any t∈ R, a R+ t R= R
implies that a+ tb is a unit in R for some b∈ R. Similarly, a∈ R is said to be of left stable …

In this paper, we introduce the concept of a unit lifting morphism, a natural generalization of
the classical notion “local morphism”, by providing several examples and investigating all its …

This article concerns various lifting properties of formal triangular matrix rings. The first aim is
to study idempotent lifting ideals of formal triangular matrix rings. In connection with the …