The purpose of this paper is to introduce and study a new class of operators that we call pseudo-generalized invertible operators. This class includes both the class of generalized invertible ...

We introduce and study a new class of generalized inverses in rings. An element 𝑎 in a ring 𝑅 has p-Hirano inverse if there exists 𝑏 ∈ 𝑅 such that 𝑏𝑎𝑏 = 𝑏, 𝑏 ∈ 𝑐𝑜𝑚𝑚2(𝑎), (𝑎2 - 𝑎𝑏)𝑘 ∈ ...