JP Journal of Algebra, Number Theory and Applications
Volume 39, Issue 4, Pages 569 - 583
(August 2017) http://dx.doi.org/10.17654/NT039040569 |
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JORDAN HOMOMORPHISMS ON ASSOCIATIVE PAIRS
Chafika Zarhouti and Hassan Marhnine
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Abstract: The aim of this paper consists in proving that any Jordan homomorphism defined from an associative pair onto a prime associative pair is a homomorphism or an antihomomorphism generalizing by the way a brilliant result due to Herstein [5] to a more general context of ternary rings, namely those centered on associative pairs. |
Keywords and phrases: homomorphism, antihomomorphism, Jordan homomorphism, associative pair, Jordan pair. |
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