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Mathematics > Commutative Algebra

Title: On the symbolic $F$-splitness of binomial edge ideals

Abstract: We study the symbolic $F$-splitness of families of binomial edge ideals. We also study the strong $F$-regularity of the symbolic blowup algebras of families of binomial edge ideals. We make use of Fedder-like criteria and combinatorial properties of the graphs associated to the binomial edge ideals in order to approach the aforementioned scenarios.
Comments: 20 pages, comments welcome
Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)
MSC classes: 13A35, 13A30, 05C25, 05E40 (Primary) 05C78 (Secondary)
Cite as: arXiv:2404.14640 [math.AC]
  (or arXiv:2404.14640v1 [math.AC] for this version)

Submission history

From: Pedro Ramírez-Moreno [view email]
[v1] Tue, 23 Apr 2024 00:33:41 GMT (18kb)

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