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http://dx.doi.org/10.4134/CKMS.2002.17.3.451

MAXIMAL COMMUTATIVE SUBALGEBRAS OF MATRIX ALGEBRA WITH i(m)=3  

Song, Young-Kwon (Department of Mathematics Research Institute of Basic Science Kwangwoon University)
Publication Information
Communications of the Korean Mathematical Society / v.17, no.3, 2002 , pp. 451-457 More about this Journal
Abstract
Let (R, m, k) be a maximal commutative k-subalgebra of M$\sub$n/(k) where the index of nilpotency i(m) of m is 3. If the socle of R is of special case, then we can construct some isomorphic maximal commutative subalgebras.
Keywords
socle; maximal commutative subalgebra;
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  • Reference
1 Schur's Theorem on Commutative Matrices /
[ N. Jacobson ] / Bulletin of the American Mathematical Society   DOI
2 Two Constructing Maximal Commutative Subalgebras of n×n Matrices /
[ W. C. Brown ] / Communications in Algebra   DOI   ScienceOn
3 Maximal Commutative Subalgebras of Matrix Algebras /
[] / Communications in Algebra   DOI   ScienceOn
4 Maximal Commutatives Subalgebras of n×n Matrices /
[ W. C. Brown;F. W. Call ] / Communications in Algebra
5 Commutative Matrices /
[ D. A. Suprunenko;R. I. Tyshkevich ] / Academic Press
6 Constructing Maximal Commutative Subalgebras of Martrix Rings in Small Dimensions /
[] / Communications in Algebra   DOI   ScienceOn
7 On the Maximal Commutative Subalgebras of 14 by 14 Matrices /
[ Youngkwon Song ] / Communications in Algebra   DOI   ScienceOn
8 On Dominance and Varieties of Commuting Matrices /
[ M. Gerstenhaber ] / Annals of Mathematics   DOI   ScienceOn
9 Notes on the Constructions of Maximal Commutative Subalgebra of Mn(k) /
[] / Communications in Algebra   DOI   ScienceOn
10 The Dimension of Maximal Commutative Subalgebras of Kn /
[ R. C. Courter ] / Duke Mathematical Journal   DOI