Title
kDerivations and kHomomorphisms of Gamma Rings: Jordan kDerivations, Jordan Left/Right and Generalized kDerivations, Jordan ,Used
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The notion of a gamma ring is a generalization of the concept of a classical ring. This attempt characterizes certain gamma rings with various types of kderivations and khomomorphisms. We determine the commutativity of prime gamma rings of characteristic not equal to 2 and 3 with kderivations, left (and right) kderivations and generalized kderivations. We prove that every Jordan kderivation (also, Jordan generalized kderivation) of a gamma ring is a kderivation (generalized kderivation) of the same, if we consider the gamma ring as a (2torsion free) prime, completely prime, semiprime, and completely semiprime gamma ring, under some suitable conditions (as necessary), respectively. On the other hand, we prove that every Jordan khomomorphism of a gamma ring onto a 2torsion free prime (also, completely prime) gamma ring is either a khomomorphism or an antikhomomorphism. The analogous result is also proved for Jordan kisomorphism of a gamma ring onto a 2torsion free prime/completely prime gamma ring. Finally, we investigate what does happen if a kderivation acts as a kendomorphism and also as an antikendomorphism of certain gamma rings and look what we have here.
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We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.
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Warranty
We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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