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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2012 Volume 17, Issue 3, Pages 67–84 (Mi fpm1414)

This article is cited in 1 paper

Pure projective modules over exceptional uniserial noncoherent rings

G. E. Puninski

Belarusian State University, Belarus'

Abstract: 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.

UDC: 512.553.1+512.553.5


 English version:
Journal of Mathematical Sciences (New York), 2012, 187:2, 157–168

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