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Multiserial rings

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Abstract

We introduce the notion of multiserial (n-serial) rings and study their properties. The second-order minors of such rings are investigated. We also find all possible forms of quivers for Noetherian and hereditaryn-serial rings and describe the structure of semiprime and hereditaryn-serial rings.

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Kiev University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 48, No. 9, pp. 1223–1235, September, 1996.

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Kirichenko, V.V., Yaremenko, Y.V. Multiserial rings. Ukr Math J 48, 1388–1401 (1996). https://doi.org/10.1007/BF02595360

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  • DOI: https://doi.org/10.1007/BF02595360

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