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Paper detail

Homotopy categories of unbounded complexes of projective modules

We develop in this paper a stable theory for projective complexes, by which we mean to consider a chain complex of finitely generated projective modules as an object of the factor category of the homotopy category modulo split complexes. As a result of the stable theory we are able to prove that a complex of finitely generated projective modules over a generically Gorenstein ring is exact if and only if its dual complex is exact. This shows the dependence of total reflexivity conditions for modules over a generically Gorenstein ring.

preprint2021arXivOpen access
Yuji Yoshino
math.AC
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Yuji Yoshino

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