This dissertation explores the use of the Frobenius endomorphism to detect the regularity of a ring within the framework of commutative algebra. In commutative local rings of prime characteristic, invariants such as the Hilbert-Kunz multiplicity, F-signature, and Frobenius Betti numbers have been shown to detect regularity. Polstra and Smirnov [PS21] showed that the Frobenius Euler characteristic can be used to determine regularity for the class of strongly F-regular rings. Here, we extend their results by relaxing the condition of strong F-regularity. We show that the Frobenius Euler characteristic can detect regularity for rings with sufficient F-splitting and for rings that are Cohen-Macaulay.