Mathematics > Rings and Algebras
arXiv:2606.23376 (math)
[Submitted on 22 Jun 2026]
Abstract:The ring of quaternions is defined over the field of real numbers. This article extends that framework by defining quaternions over a class of commutative unital rings and generalising several of their properties. It also studies the properties of the unit group of quaternions over commutative rings with special attention to halidon rings.
Submission history
From: Antony Fernandez Telveenus [view email]
[v1]
Mon, 22 Jun 2026 14:09:09 UTC (24 KB)
Current browse context:
math.RA
Bookmark
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.