@article{Ma2026, 
author = {Jingjing Ma},
title = {Dedekind    σ-complete partially ordered rings},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {6},
pages = {3643-3654},
keywords = {Archimedean, Dedekind σ-complete, idempotent, infinite prime, maximal partial order, strong Archimedean, total order},
url = {https://www.sciopen.com/article/10.3934/era.2026164},
doi = {10.3934/era.2026164},
abstract = {In this paper, I present the properties and structures of Dedekind    σ-complete directed partially ordered rings and algebras over        R  . Under certain conditions, such as property P1, chain conditions on convex ideals, and strong Archimedean, structures are isomorphic to the real number field        R   with the usual total order or finite product or subdirect product of        R  .}
}