Mathematics > Rings and Algebras
arXiv:2512.24881 (math)
[Submitted on 31 Dec 2025 (v1), last revised 7 Aug 2026 (this version, v4)]
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.
Submission history
From: Mykola Khrypchenko [view email]
[v1]
Wed, 31 Dec 2025 14:17:21 UTC (18 KB)
[v2]
Mon, 23 Mar 2026 01:09:31 UTC (18 KB)
[v3]
Sat, 28 Mar 2026 11:53:54 UTC (58 KB)
[v4]
Fri, 7 Aug 2026 11:38:39 UTC (58 KB)
Bibliographic Tools
Bibliographic and Citation Tools
Bibliographic Explorer Toggle
Code, Data, Media
Code, Data and Media Associated with this Article
Demos
Demos
Related Papers
Recommenders and Search Tools
About arXivLabs
arXivLabs: experimental projects with community collaborators
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.













