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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Дата:2018
Автори: Gnatiuk, Olena, Golovaschuk, Natalia
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2018
Теми:
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1156
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-1156
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
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-05-16T05:04:06Z
collection OJS
language English
topic differential graded category
graded graph
critical quadratic form
affine diagram
16G60
15A63
20F65
57M20
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
topic_facet differential graded category
graded graph
critical quadratic form
affine diagram
16G60
15A63
20F65
57M20
format Article
author Gnatiuk, Olena
Golovaschuk, Natalia
author_facet Gnatiuk, Olena
Golovaschuk, Natalia
author_sort Gnatiuk, Olena
title 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_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_sort differential graded categories associated with the critical semi-definite quadratic forms
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.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1156
work_keys_str_mv AT gnatiukolena differentialgradedcategoriesassociatedwiththecriticalsemidefinitequadraticforms
AT golovaschuknatalia differentialgradedcategoriesassociatedwiththecriticalsemidefinitequadraticforms
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