On graded Gorenstein injective dimension
classification
🧮 math.AC
keywords
dimensiongorensteingradedinjectivedimensionshomologicalchouinardcompare
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There are nice relations between graded homological dimensions and ordinary homological dimensions. We study the Gorenstein injective dimension of a complex of graded modules denoted by $^*\Gid$, and derive its properties. In particular we prove the Chouinard's like formula for $^*\Gid$, and compare it with the usual Gorenstein injective dimension.
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