3 citations · 3 across the 3 of their papers we have counts for
5 papers · 1 filter
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…
Rees algebras of sparse determinantal ideals
Ela Celikbas, Emilie Dufresne, Louiza Fouli +4
We determine the defining equations of the Rees algebra and of the special fiber ring of the ideal of maximal minors of a sparse matrix. We prove that their initial alg…
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…
Generalized Gorenstein Arf rings
Ela Celikbas, Olgur Celikbas, Shiro Goto +1
In this paper we study generalized Gorenstein Arf rings; a class of one-dimensional Cohen-Macaulay local Arf rings that is strictly contained in the class of Gorenstein rings. We o…
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…