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The technique of Bourbaki sequences is used in [4] in order to study the graded maximal Cohen‐Macaulay modules of rank two over the singularity x31+x32+x33+x34. In the second section of this paper we complete a small gap in the classification of these modules which are non–orientable. In the last section we give a brief survey on the classification of the graded non–orientable maximal Cohen–Macaulay modules of rank two over x31+x32+x33+x34.
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