@misc{10481/74695,
year = {2021},
month = {11},
url = {http://hdl.handle.net/10481/74695},
abstract = {Let A and B be unital rings. An additive map T : A → B
is called a weighted Jordan homomorphism if c = T (1) is an invertible
central element and cT (x2) = T (x)2 for all x ∈ A. We provide assumptions,
which are in particular fulfilled when A = B = Mn(R) with n ≥ 2
and R any unital ring with 1
2 , under which every surjective additive map
T : A → B with the property that T (x)T (y) + T (y)T (x) = 0 whenever
xy = yx = 0 is a weighted Jordan homomorphism. Further, we show
that if A is a prime ring with char(A) 6= 2, 3, 5, then a bijective additive
map T : A → A is a weighted Jordan homomorphism provided that
there exists an additive map S : A → A such that S(x2) = T (x)2 for all
x ∈ A.},
organization = {Slovenian Research Agency (ARRS) Grant P1-
0288},
organization = {MCIU/AEI/FEDER Grant PGC2018-093794-
B-I00},
organization = {Junta de Andalucía Grant FQM-185},
organization = {MIU Grant FPU18/00419 MIU Grant
EST19/00466},
publisher = {Taylor & Francis},
keywords = {Weighted Jordan homomorphism},
keywords = {Zero Jordan product pre-serving map},
keywords = {Zero Jordan product determined ring},
keywords = {Matrix ring},
keywords = {Prime ring},
title = {Weighted Jordan homomorphisms},
doi = {10.1080/03081087.2022.2059434},
author = {Bresar, M. and Castillo Godoy, María Luisa},
}