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<p>This article investigates the differential smoothness of various five-dimensional Artin-Schelter regular algebras. By analyzing the relationship between the number of generators and the Gelfand-Kirillov dimension, we provide structural obstructions to differential smoothness in specific algebraic families.</p>

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On differential smoothness of certain Artin-Schelter regular algebras of dimension 5

  • 期刊论文

  • 发表日期：

    2026年2月19日

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  • Andrés Rubiano

摘要

This article investigates the differential smoothness of various five-dimensional Artin-Schelter regular algebras. By analyzing the relationship between the number of generators and the Gelfand-Kirillov dimension, we provide structural obstructions to differential smoothness in specific algebraic families.