2 citations · 5 across the 6 of their papers we have counts for
7 papers
Almost Gorenstein determinantal rings of symmetric matrices
Ela Celikbas, Naoki Endo, Jai Laxmi +1
We provide a characterization of the almost Gorenstein property of determinantal rings of a symmetric matrix of indeterminates over an infinite field. We give an explicit formula f…
Generic doublings of almost complete intersections of codimension 3
Jai Laxmi
We study Gorenstein ideals of codimension derived from generic doublings of almost complete intersection perfect ideals of codimension . We also investigate spinor coordinat…
Spinor structures on free resolutions of codimension four Gorenstein ideals
Ela Celikbas, Jai Laxmi, Jerzy Weyman
We analyze the structure of spinor coordinates on resolutions of Gorenstein ideals of codimension four. As an application we produce a family of such ideals with seven generators w…
The family of perfect ideals of codimension 3, of type 2 with 5 generators
Ela Celikbas, Jai Laxmi, Witold Kraśkiewicz +1
In this paper we define an interesting family of perfect ideals of codimension three, with five generators, of Cohen-Macaulay type two with trivial multiplication on the Tor algebr…
Associated Graded Rings and Connected Sums
H. Ananthnarayan, Ela Celikbas, Jai Laxmi +1
In 2012, Ananthnarayan, Avramov and Moore gave a new construction of Gorenstein rings from two Gorenstein local rings, called their connected sum. In this article, we investigate c…
Embeddings of canonical modules and resolutions of connected sums
Ela Celikbas, Jai Laxmi, Jerzy Weyman
For an ideal generated by all square-free monomials of degree in a polynomial ring with variables, we obtain a specific embedding of a canonical module of $R/…
Decomposing Gorenstein Rings as Connected Sums
H. Ananthnarayan, Ela Celikbas, Jai Laxmi +1
In 2012, Ananthnarayan, Avramov and Moore give a new construction of Gorenstein rings from two Gorenstein local rings, called their connected sum. Given a Gorenstein ring, one woul…