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.
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2007 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152386 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862558223440019456 |
|---|---|
| author | Melnyk, I. |
| author_facet | Melnyk, I. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-11-25T22:45:08Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152386 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-25T22:45:08Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Melnyk, I. 2019-06-10T17:29:15Z 2019-06-10T17:29:15Z 2007 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. https://nasplib.isofts.kiev.ua/handle/123456789/152386 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On quantales of preradical Bland filters and differential preradical filters Article published earlier |
| spellingShingle | On quantales of preradical Bland filters and differential preradical filters Melnyk, I. |
| title | 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_short | On quantales of preradical Bland filters and differential preradical filters |
| title_sort | on quantales of preradical bland filters and differential preradical filters |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152386 |
| work_keys_str_mv | AT melnyki onquantalesofpreradicalblandfiltersanddifferentialpreradicalfilters |