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<p>In this paper, we study <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\frac{1}{2}\)</EquationSource> <EquationSource Format="MATHML"><math> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </math></EquationSource> </InlineEquation>-derivation and local <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\frac{1}{2}\)</EquationSource> <EquationSource Format="MATHML"><math> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </math></EquationSource> </InlineEquation>-derivation on naturally graded filiform Lie and Leibniz algebra. We describe the local <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\frac{1}{2}\)</EquationSource> <EquationSource Format="MATHML"><math> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </math></EquationSource> </InlineEquation>-derivation of naturally graded filiform Lie and Leibniz algebra.</p>

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LOCAL \(\frac{1}{2}\)-DERIVATION ON NATURALLY GRADED FILIFORM LEIBNIZ ALGEBRA

  • 期刊论文

  • 发表日期：

    2025年11月25日

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  • Bakhtiyor Yusupov

摘要

In this paper, we study \(\frac{1}{2}\) 1 2 -derivation and local \(\frac{1}{2}\) 1 2 -derivation on naturally graded filiform Lie and Leibniz algebra. We describe the local \(\frac{1}{2}\) 1 2 -derivation of naturally graded filiform Lie and Leibniz algebra.