Quasi-pure resolutions and some lower bounds of Hilbert coefficients of Cohen-Macaulay modules

Tony J. Puthenpurakal, Samarendra Sahoo

Let $(A,\mathfrak{m})$ be a Gorenstein local ring and let $M$ be a finitely generated Cohen Macaulay $A$ module. Let $G(A)={⨁}_{n\ge 0}{\mathfrak{m}}^n/{\mathfrak{m}}^{n+1}$ be…