Abstract In the present work, a procedure for determining idempotents of a commutative ring having a sequence of ideals with certain properties is presented. As an application of this procedure, idempotent elements of various commutative rings are determined. Several examples are included illustrating the main results.

中文翻译：

---

关于一类交换环的幂等

摘要 在目前的工作中，提出了确定具有特定性质的理想序列的交换环的幂等的过程。作为该过程的应用，确定了各种交换环的幂等元素。包括几个例子来说明主要结果。