Haghany, A. Morita contexts and torsion theories. (English) Zbl 0835.16005 Math. Jap. 42, No. 1, 137-142 (1995). For a Morita context \((R, V, W, S)\) and a hereditary torsion theory \(\tau\) on Mod-\(R\), the author constructs a hereditary torsion theory \(\underline {\tau}\) on Mod-\(S\) and points out that for a suitable hereditary torsion theory \(\lambda\) on Mod-\(R\), the quotient categories Mod-\((R,\lambda)\) and Mod-\((S, \underline {\tau})\) are equivalent. He also shows that for suitable rings \(R\) and \(S\), there exists a context \((R, V, W, S)\) such that the correspondence \(\tau \to \underline {\tau}\) is well-behaved in the sense that if for example \(\tau\) is the Goldie torsion theory then so is \(\underline {\tau}\). Reviewer: Y.Kurata (Hiratsuka) Cited in 2 Documents MSC: 16D90 Module categories in associative algebras 16S90 Torsion theories; radicals on module categories (associative algebraic aspects) Keywords:Morita contexts; hereditary torsion theories; Goldie torsion theory PDFBibTeX XMLCite \textit{A. Haghany}, Math. Japon. 42, No. 1, 137--142 (1995; Zbl 0835.16005)