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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2025 Volume 25, Issue 3, Pages 81–111 (Mi fpm1985)

Automorphisms of incidence algebras

P. A. Krylova, A. A. Tuganbaevbc

a Tomsk State University
b National Research University "Moscow Power Engineering Institute"
c Lomonosov Moscow State University

Abstract: We study automorphisms of the incidence algebra $I(X,R)$, where $X$ is a preordered set and $R$ is an algebra over some commutative ring $T$. Under some fairly general assumptions, it is established that every automorphism of such an algebra is a product of four automorphisms, the structure of which can be considered known.

UDC: 512.552



© Steklov Math. Inst. of RAS, 2025