3 papers
math.RA2024
Multiplicative Automorphisms of Incidence Algebras
Evgenii Kaigorodov, Piotr Krylov, Askar Tuganbaev
Let be the incidence algebra of the preordered set over the ring . In the case of a finite connected partially ordered set , we prove that the subgroup of inner…
math.RA2023
Incidence Rings: Automorphisms and Derivations
Piotr Krylov, Askar Tuganbaev
We study automorphisms, isomorphisms, and derivations of the incidence algebra , where is preordered set and is an algebra over some commutative ring .
math.RA2023
Formal Matrix Rings: Isomorphism Problem
Piotr Krylov, Askar Tuganbaev
We consider the isomorphism problem for formal matrix rings over a given ring. Principal factor matrices of such rings play an important role in this case. The work is supported by…