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In this manuscript, we discuss the relationship between prime rings and automorphisms satisfying differential identities involving commutators and anti-commutators on Lie ideals. In addition, we provide an example which shows that we cannot expect the same conclusion in case of semiprime rings.
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참고문헌 (25)
참고문헌 신청
Ali, S. / 2019 / n-commuting mappings on (semi)-prime rings with applications / Comm. Algebra 5(47):2262~2270
Ashraf, M. / 2018 / Commutators having idempotent values with automorphisms in semi-prime rings / Math. Rep. (Bucur. ) 20(70):51~57
Ashraf, M. / 2002 / On commutativity of rings with derivations / Results Math 42(1-2):3~8
Beidar, K. I. / 2001 / Extended Jacobson density theorem for rings with automorphisms and derivations / Israel J. Math 122:317~346
Beidar, K. I. / 1996 / Rings with Generalized Identities, Pure and Applied Mathematics / Marcel Dekker :196
Ashraf, M. / 2018 / Commutators having idempotent values with automorphisms in semi-prime rings / Math. Rep. (Bucur. ) 20(70):51~57
Ashraf, M. / 2002 / On commutativity of rings with derivations / Results Math 42(1-2):3~8
Beidar, K. I. / 2001 / Extended Jacobson density theorem for rings with automorphisms and derivations / Israel J. Math 122:317~346
Beidar, K. I. / 1996 / Rings with Generalized Identities, Pure and Applied Mathematics / Marcel Dekker :196
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