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This article is cited in 2 scientific papers (total in 2 papers)
Characterization of Locally Noetherian Varieties in Terms of Idempotents
O. B. Finogenova Ural State University, Ekaterinburg
Abstract:
It is proved that a variety of associative rings is left and right locally Noetherian if and only if every finitely generated ring in the variety contains only finitely many idempotents.
Keywords:
variety of associative rings, left (right) locally Noetherian ring, idempotent.
Received: 08.11.2012
Citation:
O. B. Finogenova, “Characterization of Locally Noetherian Varieties in Terms of Idempotents”, Mat. Zametki, 97:6 (2015), 925–929; Math. Notes, 97:6 (2015), 937–940
Linking options:
https://www.mathnet.ru/eng/mzm10222https://doi.org/10.4213/mzm10222 https://www.mathnet.ru/eng/mzm/v97/i6/p925
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Abstract page: | 288 | Full-text PDF : | 46 | References: | 38 | First page: | 27 |
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