Quasi projective dimension for complexes
Tirdad Sharif
TL;DR
This paper extends the concept of quasi-projective dimension from finitely generated modules to homologically finite complexes and explores their homological properties.
Contribution
It introduces the quasi-projective dimension for complexes, expanding its applicability beyond modules and analyzing related homological characteristics.
Findings
Extension of quasi-projective dimension to complexes
Analysis of homological properties of this dimension
Foundations for further research in homological algebra
Abstract
In this note, we extend the quasi-projective dimension of finite (that is, finitely generated) modules to homologically finite complexes, and we investigate some of homological properties of this dimension.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Commutative Algebra and Its Applications