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Document Type |
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Thesis |
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Document Title |
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Wide Morita contexts for abelian Categories قرائن موريتا في الأصناف الآبلية |
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Subject |
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Mathematics |
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Document Language |
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Arabic |
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Abstract |
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Wide Morita contexts" are extension~ ofMorita contexts» in abdian categories This notion was introduced by F. Castaiio Iglesias and J. Gomez-ToITecilla~ in Communications in Algebra, VoL 23, in 1995. There are two main branches of thi. exten.ion, which are tenned. right and left wide Morita contexts. Right wide Morita contexts deal w;th the exten.;ons of Mor;ta context, from modules over r;ngs to abelian categor;es, while left wide Morita coutexts can be viewed as extensiou,of contexts of comodule~ 0""[ coalgebra~ to abelian categorie,. Using the tool. de\elopedin these wide Morita contexts> many equivalences and duali tiesstudied;n module and comodule categorie~ are now expo,ed to abelian categories. One thing that was gi,en le.. atteution i, the injectivity criterion. In the present work au aim here is to fill this gap by stndying and upgr-ading the p[operties ofinjective Morita contexts to ;njective right wide Morita coutext~. Moreover-, be,;de~ giving a review of till. uewly developed branch, some defrnitiou, will be modified and some known results related to equivalences ofcategor;e~ will be resIDICtured. In particular, the ten,or product of two bimodnles is studied a, a ring aud an equiyalence c ouditiouis added in the c1a..ical tatemeut ofMorita Theorem L Rational sy,tems are studied for gener-al rings [elated to Mor;ta context. and we have used them to deduce the 1UJectiyitycriterion |
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Supervisor |
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Prof. Syed Khalid Nauman |
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Thesis Type |
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Master Thesis |
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Publishing Year |
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1427 AH
2006 AD |
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Co-Supervisor |
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Dr. Ahmad Nasser Al-Kenani |
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Added Date |
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Wednesday, June 11, 2008 |
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Researchers
| وحيدة علي الصبياني | Al-sibiani, Wahidh Ali | Researcher | Master | |
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Files
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23710.pdf
| pdf | المستخلص |
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23711.pdf
| pdf | Abstract |
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