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   Articles with "flat modules" as a keyword



Gorenstein projective and weak Gorenstein flat modules

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recommendations! Published in 2024 at "Communications in Algebra"

DOI: 10.1080/00927872.2024.2395988

Abstract: Abstract Let R be a ring such that all flat R-modules have finite strongly FP-injective dimension. We obtain that the class of all Gorenstein projective modules forms a left-hand class of complete and hereditary cotosion… read more here.

Keywords: gorenstein projective; weak gorenstein; gorenstein flat; flat modules ... See more keywords

A homological characterization of w-faithfully flat modules

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recommendations! Published in 2025 at "Communications in Algebra"

DOI: 10.1080/00927872.2025.2496660

Abstract: Abstract In this paper, we give a homological characterization of w-faithfully flat modules, which is different from the classical case of faithfully flat modules. Let M be a GV-torsion-free w-flat module. We prove that M… read more here.

Keywords: characterization faithfully; flat modules; faithfully flat; homological characterization ... See more keywords

Gorenstein Flat Modules of Hopf-Galois Extensions

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recommendations! Published in 2023 at "Mathematics"

DOI: 10.3390/math11112542

Abstract: Let A/B be a right H-Galois extension over a semisimple Hopf algebra H. The purpose of this paper is to give the relationship of Gorenstein flat dimensions between the algebra A and its subalgebra B,… read more here.

Keywords: flat modules; hopf galois; gorenstein flat; modules hopf ... See more keywords