Gorenstein derived functors from special rings to arbitrary rings
Tiwei Zhao
TL;DR
This paper extends Gorenstein homological properties from special classes of rings to arbitrary rings by introducing Gorenstein weak injective and weak projective modules.
Contribution
It introduces new notions of Gorenstein weak injective and weak projective modules to generalize homological properties across all rings.
Findings
Extended Gorenstein properties to arbitrary rings.
Defined Gorenstein weak injective modules.
Defined Gorenstein weak projective modules.
Abstract
In this note, we mainly extend some Gorenstein homological properties from special rings (Noetherian or coherent rings ) to arbitrary rings by introducing the notions of Gorenstein weak injective and weak projective modules respectively.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Commutative Algebra and Its Applications