Relative Homology and Gorenstein Flat Dimension
Sean Sather-Wagstaff, Tirdad Sharif, Diana White
TL;DR
This paper explores the use of relative homological algebra techniques to analyze modules with finite Gorenstein flat dimension, providing new insights into their structure and properties.
Contribution
It introduces a novel approach applying relative homological algebra to Gorenstein flat modules, advancing understanding of their homological dimensions.
Findings
Characterization of modules with finite Gorenstein flat dimension
Development of new homological tools for Gorenstein flat modules
Enhanced understanding of module structure in relative homological algebra
Abstract
We use the machinery of relative homological algebra to study modules of finite Gorenstein flat dimension.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Commutative Algebra and Its Applications · Advanced Topics in Algebra