Completion of Semirings

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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.
This is an English summary of my 1985 (unpublished) diploma thesis

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Rings and Algebras, 16Y60; 18A40

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http://salesiana.dossiersoluciones.com/handle/123456789/64736

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0208134
 http://arxiv.org/abs/math/0208134

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arXiv