From Wikipedia, the free encyclopedia
Concept in abstract algebra
In abstract algebra, an additive monoid is said to be zerosumfree, conical, centerless or positive if nonzero elements do not sum to zero. Formally:
This means that the only way zero can be expressed as a sum is as . This property defines one sense in which an additive monoid can be as unlike an additive group as possible: no elements have inverses.
References
[edit]- Wehrung, Friedrich (1996). "Tensor products of structures with interpolation". Pacific Journal of Mathematics. 176 (1): 267–285. doi:10.2140/pjm.1996.176.267. Zbl 0865.06010.
This abstract algebra-related article is a stub. You can help Wikipedia by expanding it. |
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