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arxiv: 1210.2700 · v1 · pith:5J5R2PWHnew · submitted 2012-10-09 · 🧮 math.AC

Contracting endomorphisms and dualizing complexes

classification 🧮 math.AC
keywords contractingdualizingendomorphismschaincharacteristiccommutativecomplexcomplexes
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We investigate how one can detect the dualizing property for a chain complex over a commutative local noetherian ring R. Our focus is on homological properties of contracting endomorphisms of R, e.g., the Frobenius endomorphism when R contains a field of positive characteristic.

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