On quantales of preradical Bland filters and differential preradical filters
We prove that the set of all Bland preradical filters over an arbitrary differential ring form a quantale with respect to meets where the role of multiplication is played by the usual Gabriel pro-duct of filters. A subset of a differential pretorsion theory is a subquantale of this quantale.
Збережено в:
| Дата: | 2007 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2007
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152386 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On quantales of preradical Bland filters and differential preradical filters / I. Melnyk // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 4. — С. 108–122. — Бібліогр.: 16 назв. — англ. |
Репозитарії
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irk-123456789-1523862019-06-11T01:25:38Z On quantales of preradical Bland filters and differential preradical filters Melnyk, I. We prove that the set of all Bland preradical filters over an arbitrary differential ring form a quantale with respect to meets where the role of multiplication is played by the usual Gabriel pro-duct of filters. A subset of a differential pretorsion theory is a subquantale of this quantale. 2007 Article On quantales of preradical Bland filters and differential preradical filters / I. Melnyk // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 4. — С. 108–122. — Бібліогр.: 16 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:20F05, 20E05, 57M07. http://dspace.nbuv.gov.ua/handle/123456789/152386 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We prove that the set of all Bland preradical filters over an arbitrary differential ring form a quantale with respect to meets where the role of multiplication is played by the usual Gabriel pro-duct of filters. A subset of a differential pretorsion theory is a subquantale of this quantale. |
| format |
Article |
| author |
Melnyk, I. |
| spellingShingle |
Melnyk, I. On quantales of preradical Bland filters and differential preradical filters Algebra and Discrete Mathematics |
| author_facet |
Melnyk, I. |
| author_sort |
Melnyk, I. |
| title |
On quantales of preradical Bland filters and differential preradical filters |
| title_short |
On quantales of preradical Bland filters and differential preradical filters |
| title_full |
On quantales of preradical Bland filters and differential preradical filters |
| title_fullStr |
On quantales of preradical Bland filters and differential preradical filters |
| title_full_unstemmed |
On quantales of preradical Bland filters and differential preradical filters |
| title_sort |
on quantales of preradical bland filters and differential preradical filters |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152386 |
| citation_txt |
On quantales of preradical Bland filters and differential preradical filters / I. Melnyk // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 4. — С. 108–122. — Бібліогр.: 16 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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2023-05-20T17:38:13Z |
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2023-05-20T17:38:13Z |
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1796153744389308416 |