A ring is one of the most essential structures in abstract algebra. There exist rings in the evolution of abstract algebra that contain "abnormal" members, particularly nilpotent elements. The existence of radicals of rings was inspired by this. Radical Jacobson is one of the most popular radical rings. Rump presented braces in 2007, and interestingly, the Jacobson radical ℐ (A) of every ring, A, is a two-sided brace. Furthermore, in 2017, Brzeziski developed trusses, a novel construction that sits between the brace and the rings. In this research, we implement a qualitative literature study method to observe some fundamental properties of braces and trusses. Finally, as the result of this paper, we give some examples of trusses and show that every truss is a truss-module.

Topics
Abstract algebra
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