Relative Gorenstein rings and duality pairs
2019 ◽
Vol 19
(08)
◽
pp. 2050147
Let [Formula: see text] be a ring (not necessarily commutative) and [Formula: see text] a bi-complete duality pair. We investigate the notions of (flat-typed) [Formula: see text]-Gorenstein rings, which unify Iwanaga–Gorenstein rings, Ding–Chen rings, AC-Gorenstein rings and Gorenstein [Formula: see text]-coherent rings. Using an abelian model category approach, we show that [Formula: see text] and [Formula: see text], the homotopy categories of all exact complexes of projective and injective [Formula: see text]-modules, are triangulated equivalent whenever [Formula: see text] is a flat-typed [Formula: see text]-Gorenstein ring.
2018 ◽
Vol 28
(06)
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pp. 959-977
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2000 ◽
Vol 43
(1)
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pp. 100-104
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2018 ◽
Vol 107
(02)
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pp. 181-198
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1973 ◽
Vol 50
◽
pp. 227-232
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2007 ◽
Vol 135
(07)
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pp. 2003-2006
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