Additive Functions and Chain Complexes of Projective Modules
We study additive functions given on a category of finitely generated projective modules. Using these functions, we define p-minimal epimorphisms and give a necessary and sufficient condition for their existence. We prove results concerning the structure of p-minimal chains of projective modules.
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| Date: | 2004 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2004
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3747 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509880409915392 |
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| author | Sharko, V. V. Шарко, В. В. Шарко, В. В. |
| author_facet | Sharko, V. V. Шарко, В. В. Шарко, В. В. |
| author_sort | Sharko, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:07:09Z |
| description | We study additive functions given on a category of finitely generated projective modules. Using these functions, we define p-minimal epimorphisms and give a necessary and sufficient condition for their existence. We prove results concerning the structure of p-minimal chains of projective modules. |
| first_indexed | 2026-03-24T02:48:08Z |
| format | Article |
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| id | umjimathkievua-article-3747 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:48:08Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a2/9a7ae574c90134bb7caf9a28ddf4a6a2.pdf |
| spelling | umjimathkievua-article-37472020-03-18T20:07:09Z Additive Functions and Chain Complexes of Projective Modules Аддитивные функции и цепные комплексы проективных модулей Sharko, V. V. Шарко, В. В. Шарко, В. В. We study additive functions given on a category of finitely generated projective modules. Using these functions, we define p-minimal epimorphisms and give a necessary and sufficient condition for their existence. We prove results concerning the structure of p-minimal chains of projective modules. Вивчаються адитивні функції, задані на категорії скінченнопороджених проективних модулів. За допомогою цих функцій визначено $р$-мінімальні епіморфізми і наведено необхідну та достатню умову їх існування. Доведено результати відносно будови $р$-мінімальних ланцюгових комплексів проективних модулів. Institute of Mathematics, NAS of Ukraine 2004-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3747 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 2 (2004); 239-246 Український математичний журнал; Том 56 № 2 (2004); 239-246 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3747/4217 https://umj.imath.kiev.ua/index.php/umj/article/view/3747/4218 Copyright (c) 2004 Sharko V. V. |
| spellingShingle | Sharko, V. V. Шарко, В. В. Шарко, В. В. Additive Functions and Chain Complexes of Projective Modules |
| title | Additive Functions and Chain Complexes of Projective Modules
|
| title_alt | Аддитивные функции и цепные комплексы проективных модулей |
| title_full | Additive Functions and Chain Complexes of Projective Modules
|
| title_fullStr | Additive Functions and Chain Complexes of Projective Modules
|
| title_full_unstemmed | Additive Functions and Chain Complexes of Projective Modules
|
| title_short | Additive Functions and Chain Complexes of Projective Modules
|
| title_sort | additive functions and chain complexes of projective modules |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3747 |
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