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This paper investigated finitely generated singular modules over a right chain ring . We show that these modules behave similar to those over valuation rings provided is a right duo ring. We also demonstrate that the duo condition cannot be removed from our discussion.
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Ulrich Albrecht, Gregg Scible, Finitely generated modules and chain rings. Rend. Sem. Mat. Univ. Padova 135 (2016), pp. 157–173DOI 10.4171/RSMUP/135-9