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Locally dualizable modules abound
- Publication Year :
- 2024
-
Abstract
- It is proved that given any prime ideal $\mathfrak{p}$ of height at least 2 in a countable commutative noetherian ring $A$, there are uncountably many more dualizable objects in the $\mathfrak{p}$-local $\mathfrak{p}$-torsion stratum of the derived category of $A$ than those that are obtained as retracts of images of perfect $A$-complexes. An analogous result is established dealing with the stable module category of the group algebra, over a countable field of positive characteristic $p$, of an elementary abelian $p$-group of rank at least 3.<br />Comment: 7 pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2401.02350
- Document Type :
- Working Paper