semirings的用法和樣例：
例句
- This paper deals with orthodox semirings whose additive idempotents satisfy permutation identities.
本文主要研究加法冪等元滿足置換等式的純整半環。 - In this paper, we mainly study extensions of partial order and finitely totally order for partially ordered semirings, and obtain some new results.
本文主要研究了偏序半環的偏序擴張和有限全序擴張，並得到了一些新的結果。
