Geodesic
Locally dualizable modules abound
Homology, homotopy, and applications, Tome 27 (2025) no. 1, pp. 75-82.

Voir la notice de l'article provenant de la source International Press of Boston

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 of a finite group having sufficient $p$-rank, over a countable field of positive characteristic $p$.
DOI : 10.4310/HHA.2025.v27.n1.a5
Classification : Primary|13D09, Secondary|18G80, 14F08
Keywords: derived category, dualizable object, stable module category, tensor triangulated category 
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Jon F. Carlson; Srikanth B. Iyengar. Locally dualizable modules abound. Homology, homotopy, and applications, Tome 27 (2025) no. 1, pp. 75-82. doi : 10.4310/HHA.2025.v27.n1.a5. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2025.v27.n1.a5/

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