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If R[x] is a P.I.D. and R commutative, then R is a field

  • Post published:June 27, 2023
  • Post category:Mathematics/Ring Theory
  • Post comments:0 Comments
Continue ReadingIf R[x] is a P.I.D. and R commutative, then R is a field

The ideal M of R is maximal iff the quotient ring R/M is a field

  • Post published:March 21, 2023
  • Post category:Mathematics/Ring Theory
  • Post comments:0 Comments
Continue ReadingThe ideal M of R is maximal iff the quotient ring R/M is a field

The commutative ring R is a field iff its only ideals are 0 and R

  • Post published:March 17, 2023
  • Post category:Mathematics/Ring Theory
  • Post comments:0 Comments
Continue ReadingThe commutative ring R is a field iff its only ideals are 0 and R

Show that Q[sqrt(2)] is a field

  • Post published:November 9, 2022
  • Post category:Field Theory/Mathematics
Continue ReadingShow that Q[sqrt(2)] is a field
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