Koszul algebra
In abstract algebra, a Koszul algebra is a graded -algebra over which the ground field has a linear minimal graded free resolution, i.e., there exists an exact sequence: Here, is the graded algebra with grading shifted up by , i.e. . The exponents refer to the -fold direct sum. Choosing bases for the free modules in the resolution, the chain maps are given by matrices, and the definition requires the matrix entries to be zero or linear forms. The concept is named after the French mathematician Jean-Louis Koszul.
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Koszul algebra
In abstract algebra, a Koszul algebra is a graded -algebra over which the ground field has a linear minimal graded free resolution, i.e., there exists an exact sequence: Here, is the graded algebra with grading shifted up by , i.e. . The exponents refer to the -fold direct sum. Choosing bases for the free modules in the resolution, the chain maps are given by matrices, and the definition requires the matrix entries to be zero or linear forms. The concept is named after the French mathematician Jean-Louis Koszul.
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In abstract algebra, a Koszul ...... thematician Jean-Louis Koszul.
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Koszulalgebra är inom matemati ...... ter den franska matematikern .
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In abstract algebra, a Koszul ...... thematician Jean-Louis Koszul.
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Koszulalgebra är inom matemati ...... ter den franska matematikern .
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Koszul algebra
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Koszulalgebra
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