Wannisa Apairat and Sompong Chuysurichay

DOI: 10.14456/sjst-psu.2018.131

pp. 1061 - 1065

Abstract

We give necessary and sufficient conditions for the existence of the Moore-Penrose inverse of an element in a ring with
involution. If
R
is a ring with involution, we also investigate the existence of the Moore-Penrose inverse of the product
x₁x_2^…x_n where,
x₁x_2^…x_n
x x x are Moore-Penrose invertible elements of
R .

Keywords

• Moore-Penrose inverse
• ring with involution