👉 In mathematics, a superideal is an ideal that is not contained in any other ideal. It's essentially a special case of the concept of a principal ideal in algebraic number theory and commutative algebra. A superideal is defined as follows: Suppose we have a ring R with ideals I_1, ..., I_n. Then a superideal of R is an ideal that contains all of these ideals but does not contain any other. In other words, if I_i is the i
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What is the definition of Superideally? 🙋
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What is the definition of Superideal? 🙋
👉 In mathematics, a superideal is a subset of a ring that contains all nilpotent elements. It is named after the idea of "super", which is often used to denote an ideal or module in algebraic geometry. Suppose we have a ring $R$ with a subring $S$. Let's say that $S$ is generated by some set of generators $\{s_1, s_2, \ldots, s_n\}$. Then the ideal generated by
