derivation;
local derivation;
finitary incidence algebra;
primary 16W25;
secondary 16S50;
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摘要:
Let P be a partially ordered set, R a commutative ring with identity and FI(P,R) the finitary incidence algebra of P over R. We prove that each R-linear local derivation of FI(P,R) is a derivation, which partially generalizes Theorem 3 of [21].
机构:
Sichuan Int Studies Univ, Sch Int Business & Management, Chongqing, Peoples R ChinaSichuan Int Studies Univ, Sch Int Business & Management, Chongqing, Peoples R China
Yan, Shenghua
Yang, Yuping
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机构:
Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R ChinaSichuan Int Studies Univ, Sch Int Business & Management, Chongqing, Peoples R China