Semidualizing DG Modules over Tensor Products
Hannah Altmann
TL;DR
This paper investigates the existence and quantity of nontrivial semidualizing differential graded modules over tensor products of DG algebras, providing bounds on their number.
Contribution
It introduces new results on the existence and enumeration of semidualizing DG modules over tensor products of DG algebras.
Findings
Establishes lower bounds on the number of semidualizing DG modules
Identifies conditions for the existence of nontrivial semidualizing DG modules
Provides new insights into the structure of DG modules over tensor products
Abstract
We study the existence of nontrivial semidualizing DG modules over tensor products of DG algebras over a field. In particular, this gives a lower bound on the number of semidualizing DG modules over the tensor product.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology