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math.AC2017★ 2 cited
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…
math.AC2017
Modules with Pure Resolutions
H. Ananthnarayan, Rajiv Kumar
We show that the property of a standard graded algebra R being Cohen-Macaulay is characterized by the existence of a pure Cohen-Macaulay R-module corresponding to any degree sequen…