On invariants of polynomial functions, II

• Date: 2021
• Main Author: Fukuma, Y.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2021
• Subjects: partially ordered set; order polynomial; polynomial function; sectional geometric genus; 05A10; 05A15; 06A06
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1319
• Journal Title: Algebra and Discrete Mathematics

Let \(P\) be a finite partially ordered set. In our previous paper, we defined the sectional geometric genus \(g_{i}(P)\) of \(P\) and studied \(g_{i}(P)\). In this paper, by using this sectional geometric genus of \(P\), we will give a criterion about the case in which \(P\) has no order.