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  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2018-01)
    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 ...
  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (World Scientific Publishing, 2018-07)
  • Sengupta, Indranath; Saha, Joydip; Tripathi, Gaurab (Cornell University Library, 2016-11)
    In this paper we compute the Betti numbers for ideals of the form I1(XY)+J, where X and Y are matrices and J is the ideal generated by the 2×2 minors of the matrix consisting of any two rows of X.
  • Saha, Joydip; Tripathi, Gaurab (COCOA, Indian Institute of Technology Gandhinagar, 2016-02-22)
  • Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2019-09)
    In this paper we explicitly compute the derivation module of quotients of polynomial rings by ideals formed by the sum or by some other gluing technique. We discuss cases of monomial ideals and binomial ideals separately.
  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2018-02)
    Suppose e≥4 be an integer, a=e+1, b>a+(e−3)d, gcd(a,d)=1 and d∤(b−a). Let M={a,a+d,a+2d,…,a+(e−3)d,b,b+d}, which forms a minimal generating set for the numerical semigroup Γe(M), generated by the set M. We calculate the ...
  • Saha, Joydip; Sengupta, Indranath; Tripathi, Gaurab (2016)
  • 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 (Cornell University Library, 2018-07)
  • Sengupta, Indranath; Tripathi, Gaurab; Saha, Joydip (Cornell University Library, 2016-10)
    In this paper we prove the primality of certain ideals which are generated by homogeneous degree 2 polynomials and occur naturally from determinantal conditions
  • 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 (2017-06-12)
  • 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, Gurab (Cornell University Library, 2017-03)
  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2018-05)
    Given integer e?4, we have constructed a class of symmetric numerical semigroups of embedding dimension e and proved that the cardinality of a minimal presentation of the semigroup is a bounded function of the embedding ...
  • Saha, Joydip; Sengupta, Indranath; Tripathi, Gaurab (Indian Academy of Science, 2018-12)
  • Saha, Joydip; Sengupta, Indranath; Tripathi, Gaurab (Cornell University Library, 2017-05)
  • 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 ...
  • Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (2018-07-16)

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