Differential graded categories associated with the critical semi-definite quadratic forms
This work concerns with classification problem of differential graded categories with critical semi-definite quadratic form. We prove that such problem which satisfies some correctness conditions can be transformed to differential graded category with directed graded graph, which is a quiver of affi...
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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1156 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543027879739392 |
|---|---|
| author | Gnatiuk, Olena Golovaschuk, Natalia |
| author_facet | Gnatiuk, Olena Golovaschuk, Natalia |
| author_sort | Gnatiuk, Olena |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-16T05:04:06Z |
| description | This work concerns with classification problem of differential graded categories with critical semi-definite quadratic form. We prove that such problem which satisfies some correctness conditions can be transformed to differential graded category with directed graded graph, which is a quiver of affine (extended) type. |
| first_indexed | 2025-12-02T15:38:29Z |
| format | Article |
| id | admjournalluguniveduua-article-1156 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:38:29Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-11562018-05-16T05:04:06Z Differential graded categories associated with the critical semi-definite quadratic forms Gnatiuk, Olena Golovaschuk, Natalia differential graded category, graded graph, critical quadratic form, affine diagram 16G60, 15A63, 20F65, 57M20 This work concerns with classification problem of differential graded categories with critical semi-definite quadratic form. We prove that such problem which satisfies some correctness conditions can be transformed to differential graded category with directed graded graph, which is a quiver of affine (extended) type. Lugansk National Taras Shevchenko University 2018-05-16 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1156 Algebra and Discrete Mathematics; Vol 16, No 2 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1156/pdf Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | differential graded category graded graph critical quadratic form affine diagram 16G60 15A63 20F65 57M20 Gnatiuk, Olena Golovaschuk, Natalia Differential graded categories associated with the critical semi-definite quadratic forms |
| title | Differential graded categories associated with the critical semi-definite quadratic forms |
| title_full | Differential graded categories associated with the critical semi-definite quadratic forms |
| title_fullStr | Differential graded categories associated with the critical semi-definite quadratic forms |
| title_full_unstemmed | Differential graded categories associated with the critical semi-definite quadratic forms |
| title_short | Differential graded categories associated with the critical semi-definite quadratic forms |
| title_sort | differential graded categories associated with the critical semi-definite quadratic forms |
| topic | differential graded category graded graph critical quadratic form affine diagram 16G60 15A63 20F65 57M20 |
| topic_facet | differential graded category graded graph critical quadratic form affine diagram 16G60 15A63 20F65 57M20 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1156 |
| work_keys_str_mv | AT gnatiukolena differentialgradedcategoriesassociatedwiththecriticalsemidefinitequadraticforms AT golovaschuknatalia differentialgradedcategoriesassociatedwiththecriticalsemidefinitequadraticforms |