CORRIGENDUM TO “ON A GENERALIZATION OF RIGHTDUO RINGS” [BULL. KOREAN MATH. SOC. 53 (2016), NO.3, 925–942]

摘要

Recently, we find a gap in [2, Example 1.2(1)], and so we here provide acorrect example.Let R be a ring. The n by n full (resp., upper triangular) matrix ring overR is denoted by Matn(R) (resp., Un(R)). Use Dn(R) = {(aij ) ∈ Un(R) | a11 =· · · = ann} and Nn(R) = {(aij ) ∈ Dn(R) | a11 = · · · = ann = 0}.