Existence of a multiplicative basis for a finitely spaced module over an aggregate
It is proved that a finitely spaced module over $k$-category admits a multiplicative basis (such a module gives rise to a matrix problem in which the allowed column transformations are determined by a module structure, the row transformations are arbitrary, and the number of canonical matrices is fi...
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| Date: | 1994 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5719 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511943968686080 |
|---|---|
| author | Roiter, A. V. Sergeychuk, V. V. Ройтер, А. В. Сергійчук, В. В. |
| author_facet | Roiter, A. V. Sergeychuk, V. V. Ройтер, А. В. Сергійчук, В. В. |
| author_sort | Roiter, A. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:16:22Z |
| description | It is proved that a finitely spaced module over $k$-category admits a multiplicative basis (such a module gives rise to a matrix problem in which the allowed column transformations are determined by a module structure, the row transformations are arbitrary, and the number of canonical matrices is finite). |
| first_indexed | 2026-03-24T03:20:56Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5719 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:20:56Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b7/79372190481c5c8d99a19a023ddd63b7.pdf |
| spelling | umjimathkievua-article-57192020-03-19T09:16:22Z Existence of a multiplicative basis for a finitely spaced module over an aggregate Скінченно зображуваний модуль над агрегатом має мультиплікативний базис Roiter, A. V. Sergeychuk, V. V. Ройтер, А. В. Сергійчук, В. В. It is proved that a finitely spaced module over $k$-category admits a multiplicative basis (such a module gives rise to a matrix problem in which the allowed column transformations are determined by a module structure, the row transformations are arbitrary, and the number of canonical matrices is finite). Доведено, що скінченно зображуваний модуль над $k$-категорією (який можна зв'язані з матричною задачею, стовпцеві перетворення якої задаются модульною сірукіурою, рядкові довільні та існує лише скінченне число матриць канонічного вигляду) має мультиплікативний базис. Institute of Mathematics, NAS of Ukraine 1994-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5719 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 5 (1994); 567–579 Український математичний журнал; Том 46 № 5 (1994); 567–579 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/5719/8123 https://umj.imath.kiev.ua/index.php/umj/article/view/5719/8124 Copyright (c) 1994 Roiter A. V.; Sergeychuk V. V. |
| spellingShingle | Roiter, A. V. Sergeychuk, V. V. Ройтер, А. В. Сергійчук, В. В. Existence of a multiplicative basis for a finitely spaced module over an aggregate |
| title | Existence of a multiplicative basis for a finitely spaced module over an aggregate |
| title_alt | Скінченно зображуваний модуль над агрегатом має мультиплікативний базис |
| title_full | Existence of a multiplicative basis for a finitely spaced module over an aggregate |
| title_fullStr | Existence of a multiplicative basis for a finitely spaced module over an aggregate |
| title_full_unstemmed | Existence of a multiplicative basis for a finitely spaced module over an aggregate |
| title_short | Existence of a multiplicative basis for a finitely spaced module over an aggregate |
| title_sort | existence of a multiplicative basis for a finitely spaced module over an aggregate |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5719 |
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