TRIANGULARIZABILITY OF ALGEBRAS OVER DIVISION RINGS

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MOUMENAEI KERMANI H.

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Journal Paper

Paper Information

Journal: Bulletin of the Iranian Mathematical Society Year:2008 | Volume:34 | Issue:1 Page(s): 73-81

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Information Journal Paper

Title

TRIANGULARIZABILITY OF ALGEBRAS OVER DIVISION RINGS

Author(s)

MOUMENAEI KERMANI H. | Issue Writer Certificate

Keywords

DIVISION RING

TRIANGULARIZABILITY

LEFT ARTINIAN

NILPOTENT

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.

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APA: Copy

MOUMENAEI KERMANI, H.. (2008). TRIANGULARIZABILITY OF ALGEBRAS OVER DIVISION RINGS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 34(1), 73-81. SID. https://sid.ir/paper/548012/en

Vancouver: Copy

MOUMENAEI KERMANI H.. TRIANGULARIZABILITY OF ALGEBRAS OVER DIVISION RINGS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2008;34(1):73-81. Available from: https://sid.ir/paper/548012/en

IEEE: Copy

H. MOUMENAEI KERMANI, “TRIANGULARIZABILITY OF ALGEBRAS OVER DIVISION RINGS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 34, no. 1, pp. 73–81, 2008, [Online]. Available: https://sid.ir/paper/548012/en

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