Classification of the almost positive posets

• Date: 2025
• Main Authors: Bondarenko, Vitaliy M., Styopochkina, Maryna V.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2025
• Subjects: almost positive poset; principal poset; \(P\)-critical poset; minimax equivalence; Tits quadratic form; minimax \(d\)-system of generators; 06A07; 11E04
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2391
• Journal Title: Algebra and Discrete Mathematics

This paper introduces the notion of almost positive posets as non-negative ones that contain maximal positive subposets. Such posets include both positive posets and \(P\)-critical posets (minimal non-positive ones) which were described by the authors back in 2005. Almost positive posets also includ...