Abstract
We prove that every finitely represented vectroid is determined, up to an isomorphism, by its completed biordered set. Elementary and multielementary representations of such vectroids (which play a central role for biinvolutive posets) are described.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 11, pp. 1451–1477, November, 1995.
The authors are indebted to P. Gabriel for discussions, in which the idea o f this paper emerged, and numerous remarks taken into account in the final version of the paper.
This work was supported by the Foundation for Fundamental Research o f the Ukrainian State Committee on Science and Technology and the International Science Foundation (Grant No. U6E000).
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Belousov, K.I., Nazarova, L.A., Roiter, A.V. et al. Elementary and multielementary representations of vectroids. Ukr Math J 47, 1661–1687 (1995). https://doi.org/10.1007/BF01057916
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DOI: https://doi.org/10.1007/BF01057916