TY - JOUR
ID - 481
TI - A generalization of Martindale's theorem to $(\alpha, \beta)-$homomorphism
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Keyhani, Eqbal
AU - Hassani, Mahmoud
AU - Amyari, Maryam
AD - Department of Mathematics, Mashhad Branch, Islamic Azad University,
Mashhad, Iran.
AD - Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Y1 - 2016
PY - 2016
VL - 7
IS - 2
SP - 143
EP - 151
KW - beta)-$multiplicative mapping
KW - beta)-$multiplicative isomorphism
KW - $(alpha
KW - beta)-$additive mapping
KW - multiplicative $(alpha
KW - beta)-$derivations
DO - 10.22075/ijnaa.2016.481
N2 - Martindale proved that under some conditions every multiplicative isomorphism between two rings is additive. In this paper, we extend this theorem to a larger class of mappings and conclude that every multiplicative $(\alpha, \beta)-$derivation is additive.
UR - https://ijnaa.semnan.ac.ir/article_481.html
L1 - https://ijnaa.semnan.ac.ir/article_481_ad67ee626a0c5ed5b5884900645f4b81.pdf
ER -