TY - JOUR
AU - Chakraborty, Sujoy
AU - Paul, Akhil Chandra
PY - 2024/06/25
Y2 - 2024/10/07
TI - A Characterization of Jordan Automorphisms on Jordan Ideals of Prime Gamma Rings
JF - GANIT: Journal of Bangladesh Mathematical Society
JA - GANIT: J. Bangladesh Math. Soc.
VL - 44
IS - 1
SE - Articles
DO -
UR - https://www.banglajol.info/index.php/GANIT/article/view/73989
SP - 92-98
AB - <p>We study and develop the concepts of homomorphism and anti-homomorphism to derive some important results in the theory of gamma rings. This article attempts to analyze some of the results of Ali et al. [1] in case of classical rings for extending those in the context of gamma rings. We establish a number of results related to automorphism, antiautomorphism and Jordan automorphism on Jordan ideal of prime gamma rings to obtain a new characterizing result. If M is a 2-torsion free prime gamma ring fulfilling a suitable condition, J is a non-zero Jordan ideal as well as a subring of M and Φ:M → M is a Jordan automorphism, then we prove that Φ is an automorphism or Φ is an anti-automorphism.</p><p>GANIT J. Bangladesh Math. Soc. 44.1 (2024) 92–98</p><p> </p>
ER -