Gorenstein gr-injective modules over graded isolated singularities

Graded isolated singularities appear very naturally in algebraic pro-jcctive geometry (cf. [18]) or invariant theory of the binary polyhedral groups (cf. [15], [17]). We define mock finitely generated modules in the category of graded modules and we use such graded modules which are also Gorenstein...

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Veröffentlicht in:Communications in algebra 2000-01, Vol.28 (7), p.3197-3207
Hauptverfasser: Asensio, M.J., López Ramos, J.A., Torrecillas, B.
Format: Artikel
Sprache:eng
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Zusammenfassung:Graded isolated singularities appear very naturally in algebraic pro-jcctive geometry (cf. [18]) or invariant theory of the binary polyhedral groups (cf. [15], [17]). We define mock finitely generated modules in the category of graded modules and we use such graded modules which are also Gorenstein injective (cf. [1], [2]) in this category to characterize graded isolated Gorenstein singularities.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927870008827019