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Homogeneous Weights and Möbius Functions on Finite Rings (1304.4927v1)
Published 17 Apr 2013 in cs.IT, math.IT, and math.RA
Abstract: The homogeneous weights and the M\"obius functions and Euler phi-functions on finite rings are discussed; some computational formulas for these functions on finite principal ideal rings are characterized; for the residue rings of integers, they are reduced to the classical number-theoretical M\"obius functions and the classical number-theoretical Euler phi-functions.