Honam Mathematical Journal (호남수학학술지)

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THE PROJECTIVE MODULE P(2) OVER THE AFFINE COORDINATE RING OF THE 2-SPHERE S2

  • Kim, Sanghee (Department of Mathematics, Chosun University)
  • Received : 2021.02.26
  • Accepted : 2021.05.26
  • Published : 2021.09.25
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Abstract

It is known that the rank 2 stably free syzygy module P(2) is not free. This algebraic fact was proved analytically, but this remarkable fact still lacks of a simple algebraic proof. The main purpose of this paper is to give a partially algebraic proof by making use of a theorem whose proof is quite topological, and the further properties of the module will be discussed.

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References

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