On invariants of polynomial functions, II
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.
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| Datum: | 2021 |
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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2021
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1319 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-13192021-04-11T06:11:31Z On invariants of polynomial functions, II Fukuma, Y. partially ordered set, order polynomial, polynomial function, sectional geometric genus 05A10, 05A15, 06A06 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. Lugansk National Taras Shevchenko University 2021-04-10 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1319 10.12958/adm1319 Algebra and Discrete Mathematics; Vol 31, No 1 (2021) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1319/pdf Copyright (c) 2021 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2021-04-11T06:11:31Z |
| collection |
OJS |
| language |
English |
| topic |
partially ordered set order polynomial polynomial function sectional geometric genus 05A10 05A15 06A06 |
| spellingShingle |
partially ordered set order polynomial polynomial function sectional geometric genus 05A10 05A15 06A06 Fukuma, Y. On invariants of polynomial functions, II |
| topic_facet |
partially ordered set order polynomial polynomial function sectional geometric genus 05A10 05A15 06A06 |
| format |
Article |
| author |
Fukuma, Y. |
| author_facet |
Fukuma, Y. |
| author_sort |
Fukuma, Y. |
| title |
On invariants of polynomial functions, II |
| title_short |
On invariants of polynomial functions, II |
| title_full |
On invariants of polynomial functions, II |
| title_fullStr |
On invariants of polynomial functions, II |
| title_full_unstemmed |
On invariants of polynomial functions, II |
| title_sort |
on invariants of polynomial functions, ii |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2021 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1319 |
| work_keys_str_mv |
AT fukumay oninvariantsofpolynomialfunctionsii |
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2025-07-17T10:30:55Z |
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2025-07-17T10:30:55Z |
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1837890131525107712 |