In this paper we show that if K is an incline with multiplicative identity and I is an r-ideal of K containing a unit u, then I = K. Moreover, we show that in a non-zero incline K with multiplicative identity and zero element, every proper r-ideal in K is contained in a maximal r-ideal of K. Z. Q. Cao, K. H. Kim and F. W. Roush [3] introduced the notion of incline algebras in their book, Inclin...
