部分标志关联代数的同构与导数

Int. J. Algebra Comput. Pub Date : 2021-07-16 DOI:10.1142/s0218196722500084

M. Khrypchenko

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引用次数: 1

摘要

设[公式:见文]和[公式:见文]为有限偏序集，[公式:见文]为可交换一元环。在[公式:见文]不可分解的情况下，我们证明了[公式:见文]与[公式:见文]之间的[公式:见文]—部分标志关联代数[公式:见文]与[公式:见文]之间的[公式:见文]—线性同构正是由[公式:见文]与[公式:见文]之间的偏序集同构所导出的同构。我们还证明了[公式:见文本]的[公式:见文本]的线性推导是平凡的。

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Isomorphisms and derivations of partial flag incidence algebras

Let [Formula: see text] and [Formula: see text] be finite posets and [Formula: see text] a commutative unital ring. In the case where [Formula: see text] is indecomposable, we prove that the [Formula: see text]-linear isomorphisms between partial flag incidence algebras [Formula: see text] and [Formula: see text] are exactly those induced by poset isomorphisms between [Formula: see text] and [Formula: see text]. We also show that the [Formula: see text]-linear derivations of [Formula: see text] are trivial.

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来源期刊

Int. J. Algebra Comput.

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