Abstract
A description of right hereditary serial rings is given. It is proved that such rings are always right Noetherian. Also described are right semihereditary serial rings for which the quotient ring with respect to the prime radical is right Noetherian.
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdelniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 114, pp. 137–147, 1982.
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Kirichenko, V.V. Hereditary and semihereditary serial rings. J Math Sci 27, 2933–2941 (1984). https://doi.org/10.1007/BF01410746
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DOI: https://doi.org/10.1007/BF01410746