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On the dimension of Veblen-Wedderburn systems

Published online by Cambridge University Press:  18 May 2009

Carlton J. Maxson
Carlton J. Maxson
Affiliation:
Texas A And M University, College Station, Texas 77843
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In [1, p. 97], Bruck and Bose ask the question ”Has every (right) Veblen-Wedderburn system finite dimension over its left operator skew-field?” It is the purpose of this note to show that, in general, this question has a negative answer.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 11 , Issue 2 , July 1970 , pp. 114 - 116
Copyright
Copyright © Glasgow Mathematical Journal Trust 1970

References

REFERENCES

1.Bruck, R. H. and Bose, R. C., The construction of translation planes from projective spaces, J. Algebra 1 (1964), 85–102.CrossRefGoogle Scholar
2.Kerby, W., Projective und nicht-projective Fastkörper, Abh. Math. Sent. Univ. Hamburg, 32 (1968), 20–24.CrossRefGoogle Scholar
3.Maxson, C. J., Dickson near-rings, J. Algebra 14 (1970), 152–169.Google Scholar
4.Zemmer, J. L., Near-fields, planar and non-planar, The Math. Student, 31 (1964), 145–150.Google Scholar