Some algebraic invariants of the residue class rings of the edge ideals of perfect semiregular trees

Bakhtawar Shaukat; Ahtsham Ul Haq; Muhammad Ishaq

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arXiv · 2110.15031

Some algebraic invariants of the residue class rings of the edge ideals of perfect semiregular trees

Bakhtawar Shaukat·Ahtsham Ul Haq·Muhammad Ishaq

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Abstract

Let S be a polynomial algebra over a field. If I is the edge ideal of a perfect semiregular tree, then we give precise formulas for values of depth, Stanley depth, projective dimension, regularity and Krull dimension of S/I.

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Bakhtawar Shaukat, Ahtsham Ul Haq, Muhammad Ishaq. 2021-10-28. Some algebraic invariants of the residue class rings of the edge ideals of perfect semiregular trees. https://arxiv.org/abs/2110.15031

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