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A CONSTRUCTION OF MAXIMAL COMMUTATIVE SUBALGEBRA OF MATRIX ALGEBRAS
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 Title & Authors
A CONSTRUCTION OF MAXIMAL COMMUTATIVE SUBALGEBRA OF MATRIX ALGEBRAS
Song, Young-Kwon;
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 Abstract
Let (B, m, k) be a maximal commutative -subalgebra of M(k). Then, for some element z Soc(B), a k-algebra R = B[X,Y]/I, where I = (mX, mY, X- z,Y- z, XY) will create an interesting maximal commutative -subalgebra of a matrix algebra which is neither a -construction nor a -construction. This construction will also be useful to embed a maximal commutative -subalgebra of matrix algebra to a maximal commutative -subalgebra of a larger size matrix algebra.gebra.a.
 Keywords
C(equation omitted)-construction;
 Language
English
 Cited by
1.
The length function and matrix algebras, Journal of Mathematical Sciences, 2013, 193, 5, 687  crossref(new windwow)
2.
Classification of matrix subalgebras of length 1, Journal of Mathematical Sciences, 2012, 185, 3, 458  crossref(new windwow)
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