FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 3, PAGES 67-84

Pure projective modules over exceptional uniserial noncoherent rings

G. E. Puninski

Abstract

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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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Last modified: May 4, 2012