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We show that in a certain region of a negative coordinate axis, theU(1amaharia) sector of the static dyonic solutions to the noncommutative U(4)N=4 Super Yang-Mills (SYM) can be consistently decoupled from the SU(4) to {\itall orders in the noncommutativity parameter}. We show the above decoupling intwo ways. First, we show the noncommutative dyon being the same as thecommutative dyon, is a consistent solution to noncommutative equations ofmotion in that region of noncommutative space. Second, as an example ofdecoupling of a non-null U(1) sector, we also obtain a family of solutions withnontrivial U(1) components for {\it all} components of the gauge field in thesame region of noncommutative space. In both cases, the SU(4) and U(1)components separately satisfy the equations of motion.Comment: 16 pages, LaTex, one ps figure; v4: title changed and appendix A  deleted (the latter on referee's suggestion), to appear in JM

The peculiarity of a negative coordinate axis in dyonic solutions of noncommutative N=4 super Yang–Mills