Akash Babu posted an Question
October 14, 2022 • 00:21 am 30 points
  • CSIR NET
  • Mathematical Sciences

23. let r be a commutative ring with unity and r[x] be the polynomial ring in one variable. for a non zero f - a,x*, define wf) to be the smallest n such that a

23. Let R be a commutative ring with unity and R[x] be the polynomial ring in one variable. For a non zero f - a,x*, define wf) to be the smallest n such that a, 0. Also o(0)- +. Then which of the following statements is/are true? (a) of+9) 2 min (o(f), a(g) (b) olf)+ o{9) (c) f+9)- min(o(S), o(g) if o)* o(g) (d) o9)-o(f)+o(9), if R is an integral domain

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