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<p>We characterize when the semi-trivial extension of a ring is a left self-injective ring (right coherent ring, left <i>V</i>-ring, left Kasch ring, left <i>PS</i> ring, etc.). Some applications are given in Morita context rings.</p>

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Notes on semi-trivial extensions of rings

  • 期刊论文

  • 发表日期：

    2025年10月24日

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  • Lixin Mao

摘要

We characterize when the semi-trivial extension of a ring is a left self-injective ring (right coherent ring, left V-ring, left Kasch ring, left PS ring, etc.). Some applications are given in Morita context rings.