Pan, Shengyong Recollements and Gorenstein algebras. (English) Zbl 1305.18050 Int. J. Algebra 7, No. 17-20, 829-832 (2013). Summary: Let \(A\), \(B\) and \(C\) be finite dimensional algebras. In this paper, we prove that if \(A\) is a Gorenstein algebra such that \(D^b(A)\) has a recollement relative to \(D^b(B)\) and \(D^b(C)\), then \(B\) and \(C\) are Gorenstein algebras. Cited in 8 Documents MSC: 18E30 Derived categories, triangulated categories (MSC2010) 16G10 Representations of associative Artinian rings 18G15 Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) Keywords:recollement; Gorenstein algebra PDFBibTeX XMLCite \textit{S. Pan}, Int. J. Algebra 7, No. 17--20, 829--832 (2013; Zbl 1305.18050) Full Text: DOI Link