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Derivations of Incidence Algebras

Author

Listed:
  • Piotr Krylov

    (Department of Algebra, National Research Tomsk State University, Tomsk 634050, Russia
    These authors contributed equally to this work.)

  • Askar Tuganbaev

    (Department of Higher Mathematics, National Research University ‘MPEI’, Moscow 111250, Russia
    Department of Higher Algebra, Lomonosov Moscow State University, Moscow 119991, Russia
    These authors contributed equally to this work.)

Abstract

We study the derivations of the incidence algebra I ( X , R ) , where X is a preordered set and R is an algebra over some commutative ring T . A satisfactory description of the T -module of derivations and the T -module of outer derivations of this algebra is given.

Suggested Citation

  • Piotr Krylov & Askar Tuganbaev, 2024. "Derivations of Incidence Algebras," Mathematics, MDPI, vol. 12(7), pages 1-17, March.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:7:p:999-:d:1365065
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    Keywords

    incidence algebra; derivation;

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