Stable ranges for Morita contexts
Recall that \(R\) is an \((s,2)\)-ring provided that every element of \(R\) is the sum of two units. The author shows that if \(A\) and \(B\) are \((s,2)\)-rings, then so is the ring of a Morita context \((A,B,M,N,\varphi,\psi)\), where \(M\) is a \(B\)-\(A\)-bimodule, \(N\) is an \(A\)-\(B\)-bimodule, \(\varphi\colon M\otimes_AN\to B\) and \(\psi\colon N\otimes_BM\to A\) are a pair of bimodule homomorphisms. In addition, some analogous results for unit 1-stable ranges and GM-rings, and some new classes of rings satisfying such stable range conditions are obtained.
scientific article; zbMATH DE number 1747991