Write the addition and multiplication table for R={0,2,4,6,8} under addition and multiplication modulo 10 on your solutions. What is the unity in R? (a) What is the characteristic of R? Type only the value of char R below. (Hb. if char R = x then type x below.) Explain on your solutions why this is the characteristic of R. (b) Based from the table, is R an ideal of Z_10? Type Y if yes; otherwise, type N Explain based from the table why or why not.

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