Existence of а multiplicative basis for a finitely spaced module over an aggregate
It is proved that a finitely spaced module over a k-category admits a multiplicative basis such a module gives 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 infinit...
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
1994
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| Series: | Український математичний журнал |
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/153296 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Existence of а multiplicative basis for a finitely spaced module over an aggregate / A.V. Roiter, V.V. Sergeichuk // Український математичний журнал. — 1994. — Т. 46, № 5. — С. 567–579. — Бібліогр.: 3 назв. — англ. |
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irk-123456789-1532962019-06-29T16:22:04Z Existence of а multiplicative basis for a finitely spaced module over an aggregate Roiter, A.V. Sergeichuk, V.V. Статті It is proved that a finitely spaced module over a k-category admits a multiplicative basis such a module gives 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 infinite. Доведено, що скінченно зображувальний модуль над k-категорією (який можна зв'язати з матричною задачею, стовпцеві перетворення якої задаються модульною структурою, рядкові довільні та існують лише скінченне число матриць канонічного вигляду) має мультиплікатний базис. We study the minimality of the elements χh,j,kχh,j,k of the canonical system of root vectors. 1994 Article Existence of а multiplicative basis for a finitely spaced module over an aggregate / A.V. Roiter, V.V. Sergeichuk // Український математичний журнал. — 1994. — Т. 46, № 5. — С. 567–579. — Бібліогр.: 3 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/153296 519.1 en Український математичний журнал Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Статті Статті |
| spellingShingle |
Статті Статті Roiter, A.V. Sergeichuk, V.V. Existence of а multiplicative basis for a finitely spaced module over an aggregate Український математичний журнал |
| description |
It is proved that a finitely spaced module over a k-category admits a multiplicative basis such a module gives 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 infinite. |
| format |
Article |
| author |
Roiter, A.V. Sergeichuk, V.V. |
| author_facet |
Roiter, A.V. Sergeichuk, V.V. |
| author_sort |
Roiter, A.V. |
| title |
Existence of а multiplicative basis for a finitely spaced module over an aggregate |
| title_short |
Existence of а multiplicative basis for a finitely spaced module over an aggregate |
| title_full |
Existence of а multiplicative basis for a finitely spaced module over an aggregate |
| title_fullStr |
Existence of а multiplicative basis for a finitely spaced module over an aggregate |
| title_full_unstemmed |
Existence of а multiplicative basis for a finitely spaced module over an aggregate |
| title_sort |
existence of а multiplicative basis for a finitely spaced module over an aggregate |
| publisher |
Інститут математики НАН України |
| publishDate |
1994 |
| topic_facet |
Статті |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/153296 |
| citation_txt |
Existence of а multiplicative basis for a finitely spaced module over an aggregate / A.V. Roiter, V.V. Sergeichuk // Український математичний журнал. — 1994. — Т. 46, № 5. — С. 567–579. — Бібліогр.: 3 назв. — англ. |
| series |
Український математичний журнал |
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AT roiterav existenceofamultiplicativebasisforafinitelyspacedmoduleoveranaggregate AT sergeichukvv existenceofamultiplicativebasisforafinitelyspacedmoduleoveranaggregate |
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2025-07-14T04:55:24Z |
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2025-07-14T04:55:24Z |
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1837596855190421504 |