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  • Saha, Kamalesh; Sengupta, Indranath (Cornell University Library, 2021-11)
    We generalize some results of v-number for arbitrary monomial ideals by showing that the v-number of an arbitrary monomial ideal is the same as the v-number of its polarization. We prove that the v-number v(I(G)) of the ...
  • Saha, Joydip; Sengupta, Indranath; Srivastava, Pranja (Cornell University Library, 2021-11)
    Our aim in this paper is to study the arithmetically Cohen-Macaulay and the Gorenstein properties of the projective closure of an affine monomial curve obtained by gluing two affine monomial curves. We introduce the notion ...
  • Gupta, Rajat (Elsevier, 2021-11)
    In this article, a finite analogue of the generalized sum-of-tails identity of Andrews and Freitas is obtained. We derive several interesting results as special cases of this analogue, in particular, a recent identity of ...
  • Gupta, Rajat; Kumar, Rahul (Elsevier, 2021-11)
    In this article, a q-series examined by Kluyver and Uchimura is generalized. This allows us to find generalization of the identities in the random acyclic digraph studied by Simon, Crippa, and Collenberg in 1993. As one ...
  • Bhardwaj, Om Prakash; Goel, Kriti; Sengupta, Indranath (Cornell University Library, 2021-11)
    We generalize the notion of symmetric semigroups, pseudo symmetric semigroups, and row factorization matrices for pseudo Frobenius elements of numerical semigroups to the case of semigroups with maximal projective dimension ...

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