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In algebra, the zero object of a given algebraic structure is, in the sense explained below, the simplest object of such structure. As a set it is a singleton, and as a magma has a trivial structure, which is also an abelian group. The aforementioned abelian group structure is usually identified as addition, and the only element is called zero, so the object itself is typically denoted as {0}. One often refers to the trivial object since every trivial object is isomorphic to any other.
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References
- ↑ Bourbaki, N. (1998). Algebra I, Chapters 1-3. Springer. p. 98.
- ↑ Natarajan, N. S. (1964). "Rings with generalised distributive laws". J. Indian. Math. Soc. New Series. 28: 1–6.
- ↑ Patterson, Edward M. (1965). "The Jacobson radical of a pseudo-ring". Math. Z. 89 (4): 348–364. doi:10.1007/bf01112167. S2CID 120796340.
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