JP Journal of Algebra, Number Theory and Applications
Volume 46, Issue 2, Pages 133 - 144
(May 2020) http://dx.doi.org/10.17654/NT046020133 |
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ON GENERALIZED SKEW-COMMUTING MAPPINGS OF PRIME RINGS
Utsanee Leerawat and Siriporn Lapuangkham
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Abstract: Let R be a ring. Two mappings and are said to be generalized skew-commuting on R if for all x in R. The main purpose of this paper is to prove the following result, which generalizes the conjecture of Nadeem et al.: Let R be a 2‑torsion free prime ring with a non-zero isomorphism or anti-isomorphism of R. If f and g are generalized skew-commuting on R, then for all x in R. |
Keywords and phrases: skew-commuting map, additive map, semiprime ring, prime ring.
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