11 citations · 19 across the 14 of their papers we have counts for
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Nullstellensätze and Applications
Kriti Goel, Dilip P. Patil, Jugal Verma
In this expository paper, we present simple proofs of the Classical, Real, Projective and Combinatorial Nullstellensätze. Several applications are also presented such as a classica…
The Minkowski equality and inequality for multiplicity of ideals
Kriti Goel, R. V. Gurjar, J. K. Verma
In this exposition of the equality and inequality of Minkowski for multiplicity of ideals, we provide simple algebraic and geometric proofs. Connections with mixed multiplicities o…
Tight Closure of powers of ideals and tight Hilbert polynomials
Kriti Goel, Vivek Mukundan, J. K. Verma
Let be an analytically unramified local ring of positive prime characteristic For an ideal , let denote its tight closure. We introduce the tight Hi…
Eakin-Sathaye type theorems for joint reductions and good filtrations of ideals
Kriti Goel, Sudeshna Roy, J. K. Verma
Analogues of Eakin-Sathaye theorem for reductions of ideals are proved for -graded good filtrations. These analogues yield bounds on joint reduction vectors for a fa…