Atomical Grothendieck categories
Motivated by the study of Gabriel dimension of a Grothendieck category, we introduce the concept of atomical Grothendieck category, which has only two localizing subcategories, and we give a classification of this type of Grothendieck categories.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203209418 |
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| _version_ | 1832551269527453696 |
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| author | C. Năstăsescu B. Torrecillas |
| author_facet | C. Năstăsescu B. Torrecillas |
| author_sort | C. Năstăsescu |
| collection | DOAJ |
| description | Motivated by the study of Gabriel dimension of a Grothendieck category, we introduce the concept of atomical Grothendieck category, which has only two localizing subcategories, and we give a classification of this type of Grothendieck categories. |
| format | Article |
| id | doaj-art-a45727381b2f43c39ace21e7d65c728a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a45727381b2f43c39ace21e7d65c728a2025-02-03T06:01:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003714501450910.1155/S0161171203209418Atomical Grothendieck categoriesC. Năstăsescu0B. Torrecillas1Faculty of Mathematics, University of Bucharest, Bucharest 1 RO 70109, RomaniaDepartmento de Álgebra y Análisis Matemático, Universidad de Almería, Almería 04071, SpainMotivated by the study of Gabriel dimension of a Grothendieck category, we introduce the concept of atomical Grothendieck category, which has only two localizing subcategories, and we give a classification of this type of Grothendieck categories.http://dx.doi.org/10.1155/S0161171203209418 |
| spellingShingle | C. Năstăsescu B. Torrecillas Atomical Grothendieck categories International Journal of Mathematics and Mathematical Sciences |
| title | Atomical Grothendieck categories |
| title_full | Atomical Grothendieck categories |
| title_fullStr | Atomical Grothendieck categories |
| title_full_unstemmed | Atomical Grothendieck categories |
| title_short | Atomical Grothendieck categories |
| title_sort | atomical grothendieck categories |
| url | http://dx.doi.org/10.1155/S0161171203209418 |
| work_keys_str_mv | AT cnastasescu atomicalgrothendieckcategories AT btorrecillas atomicalgrothendieckcategories |