Elementary and multielementary representations of vectroids

• Date: 1995
• Main Authors: Belousov, K. I., Nazarova, L. A., Roiter, A. V., Sergeychuk, V. V., Белоусов, К. И., Назарова, Л. А., Ройтер, А. В., Сергейчук, В. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1995
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5537
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.