We study algebraic invariants of the symmetric algebra of the square-free monomial ideal L = I_n-1+J_n-1 in the polynomial ring R = K[X_1; ... ;X_n;Y_1, ..., Yn], where I_n-1 (resp. Jn_1) is generated by all square-free monomials of degree n-1 in the variables X1;...;Xn (resp. Y1; ... ;Yn). In particular, the dimension and the depth of Sym(L) are investigated by techniques of Gr¨obner bases and theory of s-sequences.

COMPUTING GROEBNER BASES AND INVARIANTS OF THE SYMMETRIC ALGEBRA

LA BARBIERA, MONICA;
2016

Abstract

We study algebraic invariants of the symmetric algebra of the square-free monomial ideal L = I_n-1+J_n-1 in the polynomial ring R = K[X_1; ... ;X_n;Y_1, ..., Yn], where I_n-1 (resp. Jn_1) is generated by all square-free monomials of degree n-1 in the variables X1;...;Xn (resp. Y1; ... ;Yn). In particular, the dimension and the depth of Sym(L) are investigated by techniques of Gr¨obner bases and theory of s-sequences.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/253003
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