TY - JOUR
T1 - Higher Derivations of Finitary Incidence Algebras
AU - Kaygorodov, Ivan
AU - Khrypchenko, Mykola
AU - Wei, Feng
N1 - Publisher Copyright:
© 2018, Springer Nature B.V.
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
UR - http://www.scopus.com/inward/record.url?scp=85051486545&partnerID=8YFLogxK
U2 - 10.1007/s10468-018-9822-4
DO - 10.1007/s10468-018-9822-4
M3 - Article
AN - SCOPUS:85051486545
SN - 1386-923X
VL - 22
SP - 1331
EP - 1341
JO - Algebras and Representation Theory
JF - Algebras and Representation Theory
IS - 6
ER -