Derivations of Incidence Algebras

Piotr Krylov and Askar Tuganbaev ()
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Piotr Krylov: Department of Algebra, National Research Tomsk State University, Tomsk 634050, Russia
Askar Tuganbaev: Department of Higher Mathematics, National Research University ‘MPEI’, Moscow 111250, Russia

Mathematics, 2024, vol. 12, issue 7, 1-17

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.

Keywords: incidence algebra; derivation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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