Compressed Algebras: Artin Algebras Having Given Socle Degrees and Maximal Length
Compressed Algebras: Artin Algebras Having Given Socle Degrees and Maximal Length
J. Emsalem and the author showed in [18] that a general polynomial $f$ of degree $j$ in the ring $\mathcal {R} = k[ {{y_1},\ldots ,{y_r}} ]$ has $\left ( {\begin {array}{*{20}{c}} {j + r - 1} \\ {r - 1} \\ \end {array} } \right )$ linearly independent partial derivates …