Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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NOTES ON MAXIMAL COMMUTATIVE SUBALGEBRAS OF 14 BY 14 MATRICES

  • Song, Youngkwon (Department of Mathematics Research Institute of Basic Science Kwangwoon University)
  • Received : 1999.07.12
  • Published : 1999.09.20
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Abstract

Let ${\Omega}$ be the set of all commutative $k$-subalgebras of 14 by 14 matrices over a field $k$ whose dimension is 13 and index of Jacobson radical is 3. Then we will find the equivalent condition for a commutative subalgebra to be maximal.

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