Pure projective modules over exceptional uniserial noncoherent rings

G. E. Puninski

Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 3, pp. 67-84.

Résumé

We classify pure projective modules over an arbitrary exceptional chain noncoherent ring $R$. In particular, we show that there exists a pure projective $R$-module admitting no indecomposable decomposition, but every pure projective module contains an indecomposable direct summand.

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