arXiv 2107.080822021-07math.RA

Isomorphisms and derivations of partial flag incidence algebras

Mykola Khrypchenko

备注：: Notation changed in Subsection 1.3 at referee's request

英文摘要：

Let $P$ and $Q$ be finite posets and $R$ a commutative unital ring. In the case where $R$ is indecomposable, we prove that the $R$-linear isomorphisms between partial flag incidence algebras $I^3(P,R)$ and $I^3(Q,R)$ are exactly those induced by poset isomorphisms between $P$ and $Q$. We also show that the $R$-linear derivations of $I^3(P,R)$ are trivial.

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