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Denis Nardin
Denis Nardin
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The Bass-Quillen conjecture is known to be true for principal ideal domaindomains (that is, if $A$ is a PID, all finitely generated projective modules over $A[T_1,\dots,T_n]$ are free). This was proven in theorem 4 of the paper

Quillen, Daniel, Projective modules over polynomial rings, Invent. Math. 36, 167-171 (1976). ZBL0337.13011.

Quillen, Daniel, Projective modules over polynomial rings, Invent. Math. 36, 167-171 (1976). ZBL0337.13011.

The Bass-Quillen conjecture is known to be true for principal ideal domain (that is, if $A$ is a PID, all finitely generated projective modules over $A[T_1,\dots,T_n]$ are free). This was proven in theorem 4 of the paper

Quillen, Daniel, Projective modules over polynomial rings, Invent. Math. 36, 167-171 (1976). ZBL0337.13011.

The Bass-Quillen conjecture is known to be true for principal ideal domains (that is, if $A$ is a PID, all finitely generated projective modules over $A[T_1,\dots,T_n]$ are free). This was proven in theorem 4 of the paper

Quillen, Daniel, Projective modules over polynomial rings, Invent. Math. 36, 167-171 (1976). ZBL0337.13011.

Source Link
Denis Nardin
Denis Nardin
  • 16.5k
  • 2
  • 69
  • 103

The Bass-Quillen conjecture is known to be true for principal ideal domain (that is, if $A$ is a PID, all finitely generated projective modules over $A[T_1,\dots,T_n]$ are free). This was proven in theorem 4 of the paper

Quillen, Daniel, Projective modules over polynomial rings, Invent. Math. 36, 167-171 (1976). ZBL0337.13011.