ON THE (B, N)-CONSTRUCTION

  • Song, Young-Kwon (Global Analysis Research Center Department of Mathematics Seoul National University )
  • 발행 : 1997.02.01

초록

In this paper, k will denote an arbitrary field. If m, n are natural numbers, then $M_{m \times n}(k)$ will denote the set of all $m \times n$ matrices with entries in k. Every k-algebras will be assumed to contain a (multiplicative) identity $1 \neq 0$. A k-subspace $R_0$ of a k-algebra R will be called a k-subalgebra of R if $R_0$ is closed under multiplication from R and $R_0$ contains the identity of R. We will assume all k-algebra homomorphisms take the identity to identity.

키워드

참고문헌

  1. Communications in Algebra v.21 no.12 Maximal Commutative Subalgebras of n × n Matrices W. C. Brown;F. W. Call
  2. Communications in Algebra v.22 no.10 Two Constructions of Maximal Commutative Subalgebras of n × n Matrices W. C. Brown
  3. Duke Mathematical J. v.32 The Dimmension of Maximal Commutative Subalgebras of $K_n$ R. C. Courter