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http://dx.doi.org/10.4134/BKMS.2012.49.2.295

MAXIMALITY PRESERVING CONSTRUCTIONS OF MAXIMAL COMMUTATIVE SUBALGEBRAS OF MATRIX ALGEBRA  

Song, Young-Kwon (Department of Mathematics Kwangwoon University)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.2, 2012 , pp. 295-306 More about this Journal
Abstract
Let (R, $m_R$, k) be a local maximal commutative subalgebra of $M_n$(k) with nilpotent maximal ideal $m_R$. In this paper, we will construct a maximal commutative subalgebra $R^{ST}$ which is isomorphic to R and study some interesting properties related to $R^{ST}$. Moreover, we will introduce a method to construct an algebra in $MC_n$(k) with i($m_R$) = n and dim(R) = n.
Keywords
maximal commutative subalgebra; ST-isomorphism;
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