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Paper Information

Journal:   BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY   2008 , Volume 34 , Number 1; Page(s) 73 To 81.
 
Paper: 

TRIANGULARIZABILITY OF ALGEBRAS OVER DIVISION RINGS

 
 
Author(s):  MOUMENAEI KERMANI H.*
 
* 
 
Abstract: 

Let V be a finite-dimensional right vector space over a division ring D and let C be a collection of linear transformations on V. In case of vector spaces over fields some authors have derived conditions on C which imply its triangularizability. Here, we will generalize some of these results to the case of vector spaces over division rings. We let C be a left artinian ring of linear transformations and prove a block triangularization theorem for C. The theorem is then used to extend two well-known results in the theory of triangularization.

 

 
Keyword(s): DIVISION RING, TRIANGULARIZABILITY, LEFT ARTINIAN, NILPOTENT
 
 
References: 
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Citations: 
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+ Click to Cite.
APA: Copy

MOUMENAEI KERMANI, H. (2008). TRIANGULARIZABILITY OF ALGEBRAS OVER DIVISION RINGS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 34(1), 73-81. https://www.sid.ir/en/journal/ViewPaper.aspx?id=106466



Vancouver: Copy

MOUMENAEI KERMANI H.. TRIANGULARIZABILITY OF ALGEBRAS OVER DIVISION RINGS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY. 2008 [cited 2021September26];34(1):73-81. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=106466



IEEE: Copy

MOUMENAEI KERMANI, H., 2008. TRIANGULARIZABILITY OF ALGEBRAS OVER DIVISION RINGS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, [online] 34(1), pp.73-81. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=106466.



 
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