Abstract

MARTINEZ, Iveth  and  SOLIS, René. n-residual module m graph and its application in structuring n-adic residuals. Rev. Mat [online]. 2019, vol.26, n.2, pp.299-318. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v26i2.38320.

In this study we analyze the behavior of the residuals of a module, raised to a power n and its relation with the n-residual sets, the graphs of residuals of power, called n-residual graphs and the primitive roots in the same module. With the obtained sets, the reduced graphs and complementary trees were established some properties that are analyzed in routines developed with Mathematica, providing a visual interpretation of the structures, object of the study, and allowing several tests with different values for odd prime number p. With obtained some interesting conjectures with possible formal results.

Keywords : primitive roots; n-residual set; n-adic residuals; n-graphs.

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