Tilting modules over commutative rings were recently classified in [13]: they correspond bijectively to faithful Gabriel topologies of finite type. In this note we extend this clas- sification by dropping faithfulness. The counterpart of an arbitrary Gabriel topology of finite type is obtained by replacing tilting with the more general notion of a silting module.
Silting modules over commutative rings
ANGELERI, LIDIA;
2017-01-01
Abstract
Tilting modules over commutative rings were recently classified in [13]: they correspond bijectively to faithful Gabriel topologies of finite type. In this note we extend this clas- sification by dropping faithfulness. The counterpart of an arbitrary Gabriel topology of finite type is obtained by replacing tilting with the more general notion of a silting module.
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