环上n-strong Drazin逆的反序律

N-strong drazin inverse and its reverse order laws in rings

讨论有单位元的结合环上元的一种新的广义逆:n-strongDrazin逆,它是一种特殊的Drazin逆.分别探讨在b∈comm(a),ab∈comm(a),ab∈comm(b),a^nsDab∈comm(b),abb^nsD∈comm(a)等条件下n-strongDrazin逆的反序律,得到一些等价刻画条件.

In this paper, n-strong Drazin inverse in an associative ring with an identity, which is a new class of Drazin inverse, is introduced.Some equivalent conditions of various kinds of reverse order laws for the n-strong Drazin inverse are obtained under some of conditions b∈ comm (a),ab∈ comm (a),ab∈ comm (b),a^nsD ab∈ comm (b),abb^nsD ∈ comm (a) respectively.