TY - JOUR
T1 - Lie-type derivations of finitary incidence algebras
AU - Khrypchenko, Mykola
AU - Wei, Feng
N1 - Publisher Copyright:
© Rocky Mountain Mathematics Consortium
PY - 2020/2
Y1 - 2020/2
N2 - Let P be an arbitrary partially ordered set, R be a commutative ring with identity and FI(P, R) be the finitary incidence algebra of P over R. Under some natural assumption on R, we prove that each Lie-type derivation of FI(P, R) is proper, which partially generalizes the main results of Zhang and Khrypchenko (2017), Wang and Xiao (2019), and Xiao and Yang (2019).
AB - Let P be an arbitrary partially ordered set, R be a commutative ring with identity and FI(P, R) be the finitary incidence algebra of P over R. Under some natural assumption on R, we prove that each Lie-type derivation of FI(P, R) is proper, which partially generalizes the main results of Zhang and Khrypchenko (2017), Wang and Xiao (2019), and Xiao and Yang (2019).
KW - Derivation
KW - Finitary incidence algebra
KW - Lie-type derivation
UR - https://www.scopus.com/pages/publications/85086235897
U2 - 10.1216/RMJ.2020.50.163
DO - 10.1216/RMJ.2020.50.163
M3 - Article
AN - SCOPUS:85086235897
SN - 0035-7596
VL - 50
SP - 163
EP - 175
JO - Rocky Mountain Journal of Mathematics
JF - Rocky Mountain Journal of Mathematics
IS - 1
ER -