JP Journal of Algebra, Number Theory and Applications
Volume 42, Issue 1, Pages 59 - 69
(April 2019) http://dx.doi.org/10.17654/NT042010059 |
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COMMUTATIVITY FOR PRIME *-RINGS WITH LEFT MULTIPLIERS
Mahmoud M. El-Soufi and Aziza Gouda
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Abstract: In this paper, we study the commutativity of prime rings with involution of the second kind which admits a left multiplier satisfying certain algebraic identities on some appropriate subsets of the ring. We also provide an example which shows that the restriction of the second kind is not superfluous. |
Keywords and phrases: commutativity, prime rings, involution, left multipliers.
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