05926290

j

05926290 Fan, Yun Liu, Hongwei Homogeneous weights and M\"obius functions on finite rings. Chin. Ann. Math., Ser. A 31, No. 3, 355-364 (2010). 2010 Fudan University, Shanghai ZH finite ring finite principal ideal ring homogeneous weight M\"obius function Euler phi-function Summary: The relations among the homogeneous weights, 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.