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- If <math>R</math> is a [[ring]], then every zero module is an [[initial object]] and a [[terminal object]] in the [[category]] of left <math>R</math>-modules.598 bytes (95 words) - 08:12, 14 August 2009
- In the [[category]] of [[ring]]s, the zero ring is a [[terminal object]], through the trivial ring homomorphism. However, it is ''not'' an [[initial object]]. This can be seen by the fact that ring homomorphisms must preserve the1 KB (221 words) - 17:44, 31 January 2022