Sarang Sane

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math.AC2026

Classification of unmixed parity binomial edge ideals of cactus and chordal graphs

Deblina Dey, A. V. Jayanthan, Sarang Sane

In this article, we characterize all unmixed and Cohen-Macaulay parity binomial edge ideals of cactus and chordal graphs in terms of the structural properties of the graph.

math.AC2026

Derived equivalences via Tate resolutions

K. Ganapathy, Sarang Sane

For any finite sequence of elements $s_{1}, \dots, s_{d}$ in a commutative noetherian ring $R$ , we show that for $n ≫ 0$ , the natural map from the Koszul complex $K(s_1^n, \ldots ,…