Corners of invo-clean unital rings

摘要

We prove that if R is an invo-clean ring and e is an idempotent, then the cornersubring eRe is also invo-clean. In particular, if for any n 2 N the full matrix n nring Mn(R) is invo-clean, then so is R. This supplies our recent publications in Bull.Iran. Math. Soc. (2017), Internat. Math. Forum (2017) and Internat. J. Contemp.Math. Sci. (2018).