Generalized invertibility in two semigroups of a ring.
Let \(R\) be ring with unity and \(e\in R\) be an idempotent. In analogy to matrix rings the notions of Neumann, group, Drazin and Moore-Penrose inverses in \(R\) are defined. The authors prove some general results connecting the above notions and next they apply them to the matrices over a given ring \(R\).
scientific article; zbMATH DE number 2026891
scientific article