Chen, Huanyin; Liu, Dayong Injective ideals of regular rings. (Chinese. English summary) Zbl 1199.16034 Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 1, 20-24 (2009). Summary: Let \(R\) be regular, \(A\in M_n(R)\). If \(M_n(R)AM_n(R)\) is injective as a right \(M_n(R)\)-module, we prove that there exist \(U,V\in\text{GL}_n(R)\) such that \(UAV\) is a diagonal matrix. MSC: 16E50 von Neumann regular rings and generalizations (associative algebraic aspects) 16D25 Ideals in associative algebras 16D50 Injective modules, self-injective associative rings 15A21 Canonical forms, reductions, classification Keywords:injective ideals; separative ideals; regular rings PDFBibTeX XMLCite \textit{H. Chen} and \textit{D. Liu}, Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 1, 20--24 (2009; Zbl 1199.16034)