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http://dx.doi.org/10.5831/HMJ.2021.43.3.403

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

Kim, Sanghee (Department of Mathematics, Chosun University)
Publication Information
Honam Mathematical Journal / v.43, no.3, 2021 , pp. 403-416 More about this Journal
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.
Keywords
Projective modules; injective modules; syzygy modules; indecomposable modules; maximal submodules;
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