On Herstein's identity in prime rings
نویسندگان
چکیده
A celebrated result of Herstein [10, Theorem 6] states that a ring R must be commutative if[x,y]n(x,y)=[x,y] for all x, y ∈ R, wheren (x,y)>1 is an integer. In this paper, we investigate the structure prime satisfies identity F([x,y])n=F([x,y]) and σ([x,y])n=σ([x,y]), where F σ are generalized derivation automorphism respectively n>1a fixed
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ژورنال
عنوان ژورنال: Algebra and discrete mathematics
سال: 2022
ISSN: ['1726-3255', '2415-721X']
DOI: https://doi.org/10.12958/adm1581