[KSCI] Korea Science Citation Index Service

Song, Youngkwon (Department of Mathematics Kwangwoon University)

Publication Information

Abstract

We introduce a method to construct some algebras $R{\in}MC_n(k)$ with dim(R) = n and $dim(m_R^2)=1$ for each $n{\geq}3$ .

Keywords

maximal commutative subalgebra; socle;

Citations & Related Records

1	W. C. Brown and F. W. Call, Maximal Commutative Subalgebras of n ${\times}$ n Matrices, Communications in Algebra 59 (1993), no. 12, 4439-4460.
2	W. C. Brown, Two Constructions of Maximal Commutative Subalgebras of n ${\times}$ n Matrices, Communications in Algebra 22 (1994), no. 10, 4051-4066. DOI ScienceOn
3	W. C. Brown, Constructing Maximal Commutative Subalgebras of Matrix Rings in Small Dimensions, Communications in Algebra 25 (1997), no. 12, 3923-3946. DOI ScienceOn
4	R. C. Courter, The Dimension of Maximal Commutative Subalgebras of $K_{n}$ , Duke Mathematical Journal 32 (1965), 225-232. DOI
5	D. A. Suprunenko and R. I. Tyshkevich, Commutative Matrices, Academic Press, 1968.
6	Youngkwon Song, On the Maximal Commutative Subalgebras of 14 by 14 Matrices, Communications in Algebra 25 (1997), no. 12, 3823-3840. DOI ScienceOn
7	Youngkwon Song, Maximal Commutative Subalgebras of Matrix Algebras, Communications in Algebra 27 (1999), no. 4, 1649-1663. DOI ScienceOn
8	Youngkwon Song, Notes on the Constructions of Maximal Commutative Subalgebra of $M_{n}$ (k), Communications in Algebra 29 (2001), no. 10, 4333-4339. DOI ScienceOn
9	Youngkwon Song, On $C^{t}_{2}$ -Construction, FJMS 33 (2009), no. 1, 33-40.

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