English

Totally compatible structures on the radical of an incidence algebra

Rings and Algebras 2026-04-01 v3 Combinatorics

Abstract

We describe totally compatible structures on the Jacobson radical of the incidence algebra of a finite poset over a field. We show that such structures are in general non-proper.

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Cite

@article{arxiv.2512.24881,
  title  = {Totally compatible structures on the radical of an incidence algebra},
  author = {Mykola Khrypchenko},
  journal= {arXiv preprint arXiv:2512.24881},
  year   = {2026}
}

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