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Silting Modules over Commutative Rings

Result description

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 classification 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.

Keywords

RingsCommutativeModulesSilting

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Silting Modules over Commutative Rings

  • Original language description

    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 classification 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.

  • Czech name

  • Czech description

Classification

  • Type

    Jimp - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

Others

  • Publication year

    2017

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    International Mathematics Research Notices

  • ISSN

    1073-7928

  • e-ISSN

  • Volume of the periodical

    2017

  • Issue of the periodical within the volume

    13

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    21

  • Pages from-to

    4131-4151

  • UT code for WoS article

    000405612400006

  • EID of the result in the Scopus database

Basic information

Result type

Jimp - Article in a specialist periodical, which is included in the Web of Science database

Jimp

OECD FORD

Pure mathematics

Year of implementation

2017