In contrast, it is shown that the direct sum of two copies of a right Ore domain has the internal cancellation property as a right module over itself
📌 3 Key Takeaways
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Objective & Hypothesis:In this note we deal with the internal cancellation property for free modules.
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Key Findings & Data:To this end we deduce that the internal cancellation property is not Morita invariant.
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Conclusion & Impact:In contrast, it is shown that the direct sum of two copies of a right Ore domain has the internal cancellation property as a right module over itself
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:İç kısaltma özelliği · Matris halkaları · Bir kürenin teğet demeti
Abstract
In this note we deal with the internal cancellation property for free modules. To this end we deduce that the internal cancellation property is not Morita invariant. In contrast, it is shown that the direct sum of two copies of a right Ore domain has the internal cancellation property as a right module over itself
Özet
Bu çalışmada serbest modüller için iç kısaltma özelliği incelenmiştir. Sonuç olarak, iç kısaltma özelliğinin Morita değişmez olmadığı sonucuna varılmıştır. Tersine, bir sağ Ore Bölgesinin kendisi ile dik toplamının, kendi üzerine bir sağ modül olarak, iç kısaltma özelliğine sahip olduğu gösterilmiştir.
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