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  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (World Scientific Publishing, 2018-07)
  • Saha, Joydip; Senguptaa, Indranath; Tripathi, Gaurab (Elsevier, 2018-06)
    In this paper we compute Gröbner bases for determinantal ideals of the form , where X and Y are both matrices whose entries are indeterminates over a field K. We use the Gröbner basis structure to determine Betti numbers ...
  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (World Scientific Publishing, 2020-05)
  • Saha, Joydip; Sengupta, Indranath; Tripathi, Gaurab (Springer, 2019-06)
    In this paper, we study primality and primary decomposition of certain ideals which are generated by homogeneous degree 2 polynomials and occur naturally from determinantal conditions. Normality is derived from these results.
  • Saha, Joydip; Sengupta, Indranath; Tripathi, Gaurab (Hikari, 2017-11)
    In this paper we propose a model for computing a minimal free resolution for ideals of the form I1(XnYn), where Xn is an n n skew-symmetric matrix with indeterminate entries xij and Yn is a generic column matrix with ...
  • Saha, Joydip; Sengupta, Indranath; Tripathi, Gaurab (Indian Academy of Science, 2018-12)
  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (Association for Computing Machinery, 2018-08)
    Bresinsky defined a class of monomial curves in A4 with the property that the minimal number of generators or the first Betti number of the defining ideal is unbounded above. We prove that the same behaviour of unboundedness ...

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