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minimal ideal
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Context
Algebra
- algebra, higher algebra
- universal algebra
- monoid, semigroup, quasigroup
- nonassociative algebra
- associative unital algebra
- commutative algebra
- Lie algebra, Jordan algebra
- Leibniz algebra, pre-Lie algebra
- Poisson algebra, Frobenius algebra
- lattice, frame, quantale
- Boolean ring, Heyting algebra
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- distributive law
Group theory
Ring theory
Module theory
Contents
Idea
A minimal ideal is a proper ideal which doesn’t contain any other proper ideal. Formally, is minimal iff for every ideal , implies or .
This notion is the dual to the more popular one of maximal ideal.
References
See also
Last revised on August 21, 2024 at 02:40:38.
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