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On socle chains of semiartinian rings with primitive factors artinian

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Abstract

The dimension sequence forms an invariant describing semisimple slices of regular semiartinian rings with primitive factors artinian. Several necessary conditions on dimension sequences are proved under assumption GCH in the paper.

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Authors and Affiliations

  1. Katedra algebry MFF, UK, Sokolovská 83, 186 75, Praha 8, Czech Republic

    J. Žemlička

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  1. J. Žemlička
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Correspondence to J. Žemlička.

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Submitted by M. M. Arslanov

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Žemlička, J. On socle chains of semiartinian rings with primitive factors artinian. Lobachevskii J Math 37, 316–322 (2016). https://doi.org/10.1134/S1995080216030215

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  • DOI: https://doi.org/10.1134/S1995080216030215

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