The authors construct commutative local artin algebras that are G-regular and weakly Gorenstein but admit infinitely generated non-projective Gorenstein projective modules, refuting Chen's Problems A, B, and C.
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On strongly G-regular rings
The authors construct commutative local artin algebras that are G-regular and weakly Gorenstein but admit infinitely generated non-projective Gorenstein projective modules, refuting Chen's Problems A, B, and C.