The Journal of the Indian Mathematical Society

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On Skewfields of a Given Degree


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1 Bombay, India
     

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In a recent paper, the author has introduced the notion of rank of commutativity of a ring. This notion will be applied to skewfields in the present note. It will be shown that the degree of a skewfield S can be characterized without explicit reference to the centre of S or to a basis of S over its centre.
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  • On Skewfields of a Given Degree

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Authors

F. W. Levi
Bombay, India

Abstract


In a recent paper, the author has introduced the notion of rank of commutativity of a ring. This notion will be applied to skewfields in the present note. It will be shown that the degree of a skewfield S can be characterized without explicit reference to the centre of S or to a basis of S over its centre.