Gorenstein derived functors from special rings to arbitrary rings

2014/05/14 by Tiwei Zhao, Zhao, Tiwei
Mathematics · #16E05 #16E10 #16E65 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1405.3375

openalex publication_date 2014/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Stable module theory
• Remarks on Gorenstein weak injective and weak flat modules

Related

• A generalization of strongly Gorenstein projective modules
• Existence of Gorenstein projective resolutions
• Strongly Gorenstein projective, injective, and flat modules
• When every Gorenstein projective (resp. flat) module is strongly Gorenstein projective (resp. flat)
• Ascent and descent of Gorenstein homological properties