Higher Derivations of Finitary Incidence Algebras

Ivan Kaygorodov; Mykola Khrypchenko; Feng Wei

doi:10.1007/s10468-018-9822-4

Higher Derivations of Finitary Incidence Algebras

Ivan Kaygorodov^*, Mykola Khrypchenko, Feng Wei

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

15 引用（Scopus）

摘要

Let P be a partially ordered set, R a commutative unital ring and FI(P,R) the finitary incidence algebra of P over R. We prove that each R-linear higher derivation of FI(P,R) decomposes into the product of an inner higher derivation of FI(P,R) and the higher derivation of FI(P,R) induced by a higher transitive map on the set of segments of P.

源语言	英语
页（从-至）	1331-1341
页数	11
期刊	Algebras and Representation Theory
卷	22
期	6
DOI	https://doi.org/10.1007/s10468-018-9822-4
出版状态	已出版 - 1 12月 2019

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Kaygorodov, I., Khrypchenko, M., & Wei, F. (2019). Higher Derivations of Finitary Incidence Algebras. Algebras and Representation Theory, 22(6), 1331-1341. https://doi.org/10.1007/s10468-018-9822-4

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abstract = "Let P be a partially ordered set, R a commutative unital ring and FI(P,R) the finitary incidence algebra of P over R. We prove that each R-linear higher derivation of FI(P,R) decomposes into the product of an inner higher derivation of FI(P,R) and the higher derivation of FI(P,R) induced by a higher transitive map on the set of segments of P.",

keywords = "Finitary incidence algebra, Higher derivation, Higher transitive map, Inner higher derivation",

author = "Ivan Kaygorodov and Mykola Khrypchenko and Feng Wei",

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AU - Kaygorodov, Ivan

AU - Khrypchenko, Mykola

AU - Wei, Feng

PY - 2019/12/1

Y1 - 2019/12/1

N2 - Let P be a partially ordered set, R a commutative unital ring and FI(P,R) the finitary incidence algebra of P over R. We prove that each R-linear higher derivation of FI(P,R) decomposes into the product of an inner higher derivation of FI(P,R) and the higher derivation of FI(P,R) induced by a higher transitive map on the set of segments of P.

AB - Let P be a partially ordered set, R a commutative unital ring and FI(P,R) the finitary incidence algebra of P over R. We prove that each R-linear higher derivation of FI(P,R) decomposes into the product of an inner higher derivation of FI(P,R) and the higher derivation of FI(P,R) induced by a higher transitive map on the set of segments of P.

KW - Finitary incidence algebra

KW - Higher derivation

KW - Higher transitive map

KW - Inner higher derivation

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ER -

Higher Derivations of Finitary Incidence Algebras

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