Matthias Schötz: Associativity and Commutativity of Partially Ordered Rings
Associativity and Commutativity of Partially Ordered Rings
There are some classical results about automatic associativity and commutativity of ordered rings (in the uniformly bounded case, for some lattice-ordered rings, i.e.~for $f$\=/rings, and for totally order skew fields).
These results admit a common generalization to certain ordered rings, the important additional assumption is "localizability of the order". In this talk I will present the classical as well as the new result and discuss a (possibly new) application to partially ordered skew fields. The talk is based on the preprint arXiv:2303.03627.
Vljudno vabljeni. Roman Drnovšek in Primož Moravec