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<p>We study symmetric algebras of graded ideals of deviation three in a polynomial ring. For a class of such ideals, we construct explicit graded free resolutions of the symmetric algebra. Our results extend known explicit constructions, previously available for certain families of ideals of deviation at most two, to a new specific class of ideals of deviation three.</p>

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Free resolutions of symmetric algebras of a class of ideals of deviation three

  • 期刊论文

  • 发表日期：

    2026年7月18日

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  • Neeraj Kumar,
  • Aniruddha Saha

摘要

We study symmetric algebras of graded ideals of deviation three in a polynomial ring. For a class of such ideals, we construct explicit graded free resolutions of the symmetric algebra. Our results extend known explicit constructions, previously available for certain families of ideals of deviation at most two, to a new specific class of ideals of deviation three.