Completion of Semirings

Details Completion of Semirings Completion of Semirings

2002-08-19

arxiv.org/abs/math/0208134v1

Mathematics

Rings and Algebras

This is an English summary of my 1985 (unpublished) diploma thesis

Scientific paper

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.

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