【摘要】 研究了整环上的上三角矩阵构成的李代数 .用初等计算的方法确定了这类李代数的极大交换理想 .证明了整环上n阶上三角阵的李代数的极大交换理想恰有n - 1个 ,并且完全确定了这些交换理想的形状更多还原

【Abstract】 The present paper investigates the Lie algebra of upper triangular matrices over integral domains. All maximal abel ideals of this Lie algebra are ditermined. It is obtained that there are exactly n -1 maximal abel ideals in this Lie algebra. The forms of these maximal ideals are given.更多还原