Author/Authors :
Safari Sabet، Sh A نويسنده Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Iran , , Razaghi، S نويسنده Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Iran ,
Abstract :
Let a; b; k 2 K and u ; v 2 U(K). We show for any idempotent e 2 K,
(
a 0
b 0
)
is
e-clean if
(
a 0
u(vb + ka) 0
)
is e-clean and if
(
a 0
b 0
)
is 0-clean,
(
ua 0
u(vb + ka) 0
)
is too.