Module that only contains 0
Also known as trivial module · null module
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1 identifiers linking zero module across the web's reference databases
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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.