C32-CONSTRUCTION ON Mn(κ)

  • Song, Youngkwon (Department of Mathematics Research Institute of Basic Science Kwangwoon University)
  • 투고 : 2003.12.15
  • 발행 : 2004.02.28

초록

Let (B, $m_B$, ${\kappa}$) be a maximal commutative ${\kappa}$-subalgebra of a matrix algebra $M_n(\kappa)$. We will construct a maximal commutative ${\kappa}$-subalgebra (R, $m$, ${\kappa}$) of $M_n+3(\kappa)$ from the algebra B such that the algebra R has dimension greater than the dimension of B by 3. Moreover, we will show a $C_i$-construction doesn't imply a $C^3_2$-construction for $i=1,2$.

키워드