MAXIMALITY PRESERVING CONSTRUCTIONS OF MAXIMAL COMMUTATIVE SUBALGEBRAS OF MATRIX ALGEBRA

Title & Authors
MAXIMALITY PRESERVING CONSTRUCTIONS OF MAXIMAL COMMUTATIVE SUBALGEBRAS OF MATRIX ALGEBRA
Song, Young-Kwon;

Abstract
Let (R, $\small{m_R}$, k) be a local maximal commutative subalgebra of $\small{M_n}$(k) with nilpotent maximal ideal $\small{m_R}$. In this paper, we will construct a maximal commutative subalgebra $\small{R^{ST}}$ which is isomorphic to R and study some interesting properties related to $\small{R^{ST}}$. Moreover, we will introduce a method to construct an algebra in $\small{MC_n}$(k) with i($\small{m_R}$)
Keywords
maximal commutative subalgebra;ST-isomorphism;
Language
English
Cited by
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