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math.AC2013★ 1 cited
Prime ideals and regular sequences of symmetric polynomials
Neeraj Kumar
Let S=K[x_1,...,x_n] be a polynomial ring. Denote by the power sum symmetric polynomial x_1^a+...+x_n^a. We consider the following two questions: Describe the subsets $A \sub…
math.AC2013
Koszul property of diagonal subalgebras
Neeraj Kumar
Let S=K[x_1,...,x_n] be a polynomial ring over a field K and I a homogeneous ideal in S generated by a regular sequence f_1,f_2,...,f_k of homogeneous forms of degree d. We study a…