关于生成元的两个定理

Two Theorems on Generating Set

本文探讨Ω-代数的生成元集的性质对Ω-代数自身性质的影响.证明了在一定条件下Ω-代数的交换性及从一个Ω-代数到另一个Ω-代数的同态映射都由Ω-代数的生成元集决定.

The effect of the properties of the generating set of an Ω- algebra to the Ω-algebra itself was explored in the paper. We proved that under certain conditions the com-mutativity of an Ω- algebra and the homomorphism from one Ω- algebra to another were decided by the generating set of the Ω- algebra.