الملخص

In this paper, three types of rings were reviewed: invo-clean, invo-t-clean and invo-k-clean, the ring invo-clean is invo-t-clean and invo-k-clean. Since invo-t-clean ring is invo-k-clean when k=3. Various examples representing elements of the three rings were presented, as were other rings in Zn that satisfy the three types, especially for the invo-k-clean ring, where different examples of rings were taken at different values of k. There are properties that all rings share and others that differ among them, the most important of which is characteristic, where the invo-clean ring is 24, and the invo-t-clean ring is 120 while invo-k-clean there is difficulty in proving it.