Samir posted an Question
February 22, 2022 • 23:23 pm 30 points
  • IIT JAM
  • Mathematics (MA)

The ring {0, 2, 4, 6, 8} under addition and multiplication moduloo 10 has a unity. find it.

The ring {0, 2, 4, 6, 8} under addition and multiplication moduloo 10 has a unity. Find it.

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  • Anonymous User best-answer

    Let R={0,2,4,6,8}, +, x modulo 10 By Theorem if R has a unity it is unique. ... 6x0=0, 6x2=12=2 mod 10, 6x4=24=4 mod 10, 6x6=36=6 mod 10, 6x8=48=8 mod 10 Therefore, 6xa=a mod 10 and 6 is the unity element of R.

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