Completion of Semirings
Rings and Algebras
2007-05-23 v1
Abstract
A semiring can be ``completed'' (i.e., embedded into a semiring in which all infinite sums are defined and satisfy some reasonable properties) iff this semiring can be naturally partially ordered. This construction is ``natural'' (a left adjoint to the forgetful functor), and quite straightforward.
Cite
@article{arxiv.math/0208134,
title = {Completion of Semirings},
author = {Martin Goldstern},
journal= {arXiv preprint arXiv:math/0208134},
year = {2007}
}
Comments
This is an English summary of my 1985 (unpublished) diploma thesis