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AntonioLao · 07-30-2005, 05:41 PM

the elements of a group have their inverses also in the group. The elements of a ring do not have any multiplicative inverses hence a ring is a semigroup only for multiplication. However, a ring does have additive inverses. They are also Abelian group for addition.

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AntonioLao Raider of the lost time Status: Offline Posts: 5,613 Thanks Given: 790 Thanked 180x in 174 Posts Join Date: Nov 2003 Rep Power: 80	07-30-2005, 05:41 PM the elements of a group have their inverses also in the group. The elements of a ring do not have any multiplicative inverses hence a ring is a semigroup only for multiplication. However, a ring does have additive inverses. They are also Abelian group for addition.