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

2021/10/28 by Bakhtawar Shaukat, Shaukat, Bakhtawar, Ahtsham Ul Haq +3 · 1 citation
Computer Science · Mathematics · #13C15 #13F20 #13P10 #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2110.15031

openalex publication_date 2021/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Castelnuovo-Mumford Regularity and Combinatorial Invariants of Trees

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