Regular ideal

In mathematics, especially ring theory, a regular ideal can refer to multiple concepts.

In operator theory, a right ideal $\mathfrak{i}$ in a (possibly) non-unital ring A is said to be regular (or modular) if there exists an element e in A such that $ex - x \in \mathfrak{i}$ for every $x \in A$ . (Jacobson 1956)

单词	Modular ideal
释义	Modular ideal 英语百科 Regular ideal In mathematics, especially ring theory, a regular ideal can refer to multiple concepts. In operator theory, a right ideal $\mathfrak{i}$ in a (possibly) non-unital ring A is said to be regular (or modular) if there exists an element e in A such that $ex - x \in \mathfrak{i}$ for every $x \in A$ . (Jacobson 1956)
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Modular ideal

Regular ideal