Séminaire d'algèbre et de géométrie du 05-11-2025

Exposé de Xiao Zhang

Le 05-11-2025 à 14:00, en P108 et en ligne.

n-cotorsion pairs over formal triangular matrix rings

Résumé

Let Λ = ( A 0 // U B ) be a formal triangular matrix ring where A, B are rings and U is an (B, A)-bimodule. In this talk we discuss some special classes over the formal triangular matrix ring Λ. Further, using these special classes, we construct a left (resp. right) n-cotorsion pair over the formal triangular matrix Λ from left (resp. right) n-cotorsion pairs over A and B. Finally, we give an example to illustrate our main results (This is a joint work with Taolue Long).