In this paper we introduce left and right annihilator (b,c)-inverses and we investigate some of theirs properties. Furthermore, here we study some properties of left and right (b,c)-inverses.

Let R be a ring and b,c ? R. The concept of (b,c)-inverses was introduced by Drazin in 2012. In this paper, the existence and the expression of the (b,c)-inverse in a ring with an involution are investigated. A new representation of the (b,c)-inverse based on the group inverse is also presented.

We introduce the class of split regular BiHom-Poisson superalgebras, which is a natural generalization of split regular Hom-Poisson algebras and split regular BiHom-Lie superalgebras. By developing techniques of connections of roots for this kind of algeb

In this paper, some characterizations and properties of right e-core inverses by using right invertible element and {1, 3e}-inverse are investigated. Meanwhile, some characterizations for a new generalized right e-core inverse which is called right pseudo e-core inverse are also studied. The relationship between right pseudo e-core inverses and right e-core inverses are presented.

Minimal rank weak Drazin inverses of a square complex matrix M are solutions to the matrix equation XMk+1 = Mk with the minimal rank, covering a large class of generalized inverses. In this paper, minimal rank weak Drazin inverses of In-BA (resp. BA) are expressed in terms of that of Im-(resp. AB), where A and B are m ? n and n ? m complex matrices, respectively.