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High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! In mathematics, the term simple is used to describe an algebraic structure which in some sense cannot be divided by a smaller structure of the same type. Put another way, an algebraic structure is simple if the kernel of every homomorphism is either the whole structure or a single element. Some examples are: a group is called a simple group if it does not contain a non-trivial proper normal subgroup; a ring is called a simple ring if it does not contain a non-trivial two sided ideal...