Enochs, Edgar A modification of Grothendieck’s spectral sequence. (English) Zbl 0628.18009 Nagoya Math. J. 112, 53-61 (1988). Using a mix of projective and injective resolutions, Grothendieck’s spectral sequence can be modified to give several results. These include a generalized version of Grothendieck duality, an inequality concerning the growth of Betti numbers and information about syzygies of finitely generated modules over Gorenstein rings. Cited in 3 Documents MSC: 18G40 Spectral sequences, hypercohomology 18E10 Abelian categories, Grothendieck categories 13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) 18G05 Projectives and injectives (category-theoretic aspects) 18G10 Resolutions; derived functors (category-theoretic aspects) Keywords:Grothendieck’s spectral sequence; Grothendieck duality; Betti numbers; syzygies; finitely generated modules; Gorenstein rings PDFBibTeX XMLCite \textit{E. Enochs}, Nagoya Math. J. 112, 53--61 (1988; Zbl 0628.18009) Full Text: DOI References: [1] Math. Scand. 29 pp 175– (1971) · Zbl 0235.13006 · doi:10.7146/math.scand.a-11043 [2] Introductory Combinatorics (1977) · Zbl 0385.05001 [3] Universelle Koeffizienten, Math. Z. 80 pp 63– (1962) [4] DOI: 10.1007/BF02760849 · Zbl 0464.16019 · doi:10.1007/BF02760849 [5] DOI: 10.1016/0021-8693(80)90119-2 · Zbl 0474.13007 · doi:10.1016/0021-8693(80)90119-2 [6] Princeton Math. Ser. 19 (1956) [7] Séminaire de mathématiques supérieures (1980) [8] Tôhoku Math. J. 9 pp 119– (1957) [9] Methods of Representation Theory I (1981) [10] DOI: 10.1090/S0002-9939-1973-0320178-1 · doi:10.1090/S0002-9939-1973-0320178-1 [11] DOI: 10.1090/S0002-9947-1980-0570778-7 · doi:10.1090/S0002-9947-1980-0570778-7 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.