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Ring Theory

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The rings Z[x] and Q[x] are not isomorphic

  • Post published:March 13, 2023
  • Post category:Mathematics/Ring Theory
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Continue ReadingThe rings Z[x] and Q[x] are not isomorphic

The rings 2Z and 3Z are not isomorphic

  • Post published:March 9, 2023
  • Post category:Mathematics/Ring Theory
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Continue ReadingThe rings 2Z and 3Z are not isomorphic

Matrix ring is not commutative for dimensions greater or equal to 2

  • Post published:February 25, 2023
  • Post category:Mathematics/Ring Theory
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Continue ReadingMatrix ring is not commutative for dimensions greater or equal to 2

The set {(r,r) | r in R} is a subring of the ring RxR

  • Post published:February 21, 2023
  • Post category:Mathematics/Ring Theory
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Continue ReadingThe set {(r,r) | r in R} is a subring of the ring RxR

Prove that the center of a division ring is a field

  • Post published:February 17, 2023
  • Post category:Mathematics/Ring Theory
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Continue ReadingProve that the center of a division ring is a field

Prove that the center of a ring is a subring that contains the identity

  • Post published:February 13, 2023
  • Post category:Mathematics/Ring Theory
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Continue ReadingProve that the center of a ring is a subring that contains the identity

Is Z a ring?

  • Post published:October 4, 2022
  • Post category:Mathematics/Ring Theory
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Continue ReadingIs Z a ring?

Given R and S rings, then its product RxS can’t be a field

  • Post published:October 1, 2022
  • Post category:Mathematics/Ring Theory
Continue ReadingGiven R and S rings, then its product RxS can’t be a field

Boolean ring is commutative

  • Post published:September 28, 2022
  • Post category:Mathematics/Ring Theory
Continue ReadingBoolean ring is commutative

Prove that (2,x) is not a principal ideal of Z[x]

  • Post published:September 19, 2022
  • Post category:Mathematics/Ring Theory
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Continue ReadingProve that (2,x) is not a principal ideal of Z[x]
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