2022
DOI: 10.48550/arxiv.2201.00847
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On reduced G-perfection and horizontal linkage relative to a semidualizing module

Abstract: In their investigation of horizontal linkage of modules of finite Gorenstein dimension over a commutative, Noetherian, semiperfect (e.g., local) ring, Dibaei and Sadeghi introduced the class of reduced G-perfect modules, making use of Bass' concept of reduced grade. A few years later, the same authors extended this class by considering the relative property of reduced G C -perfection, where C is a semidualizing module, and studied linkage even further. In the present paper, we contribute to their theory and al… Show more

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