Study About Ring of Linear Operators of Vector Space


Abstract in English

It's considered that، the ring of linear operator of vector space and stilled as a source of many mathematicians in general and algebreians particularly in introducing a new concepts in algebra and ring theory. In this subject I. Kaplansky proved the following theorem: "The ring of linear operators of finite dimension vector space is regular". The object of this paper is studying of ring of linear operator of vector space in abstract algebra point of view.

References used

Anderson F. W. & Fuller K. R: " Rings and Categories of Modules ", New York. Springer 1973
(Goodearl K.R: " Von Neumann Regular Rings ", Pitman London (1979
Kasch F: " Modules and Rings ", London Math. Soc. Mono. 1982

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