4 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…
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…