The w-core inverse of a product and its applications

摘要

Let R be a unital *-ring. This paper establishes necessary and sufficient conditions for the existence of the w-core inverse of a regular element by units in R. Then, the existence criterion of the w-core inverse of the product of three elements are derived. As applications, the existence criterion and expression of the w-core inverse of 2 x 2 matrices over a ring are given.

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