del Río, Angel Graded rings and equivalences of categories. (English) Zbl 0722.16020 Commun. Algebra 19, No. 3, 997-1012 (1991). Let \(R\) and \(A\) be graded rings (not necessarily over the same group). The paper studies the following problem: When the categories \(R\)-gr and \(A\)-gr are equivalent? The answer is given in terms of certain \(R\)-\(A\)-bimodules. Several applications are given. Reviewer: C.Năstăsescu (Bucureşti) Cited in 2 ReviewsCited in 17 Documents MSC: 16W50 Graded rings and modules (associative rings and algebras) 16D90 Module categories in associative algebras 16D20 Bimodules in associative algebras Keywords:equivalences of categories; graded rings; bimodules PDF BibTeX XML Cite \textit{A. del Río}, Commun. Algebra 19, No. 3, 997--1012 (1991; Zbl 0722.16020) Full Text: DOI OpenURL References: [1] Gordon R., J. of Algebra 76 pp 241– (1980) [2] Hilton P.J., A Course in Homological Algebra (1971) [3] DOI: 10.1016/0022-4049(88)90067-9 · Zbl 0657.16025 [4] Montgomery, S. Fixed Rings of Finite Automorphism Groups of Associative Rings. Lect. Notes in Math. Vol. 818, Berlin: Springer. · Zbl 0449.16001 [5] DOI: 10.1016/0021-8693(89)90192-0 · Zbl 0678.16001 [6] Năstaăsescu, C. 1980. Graded Ring Theory. Conference. 1980, North–Holland, Amsterdam. Mathematical Library This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.