右稳定的子Quantales

Right Stable Subquantales

作为S-素元的推广,本文引入了右稳定元概念,并证明了在一定条件下,S右稳定元是S-素元;在研究右稳定元构成的子Quantale性质的同时,对右稳定的子Quantale作了精确刻画.

This paper introduced the concept of right stable, which generalized the concept of S-prine. We verified that the S-right stable elements in quantales were exactly the S-prine elements under some given conditions. Meanwhile, we studied some properties of subquantales, which are were up by the right stable elements, and gave the characterization of the quantic conuclei of right stable quantales.