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- Idealizer abstract "In abstract algebra, the idealizer of a subsemigroup T of a semigroup S is the largest subsemigroup of S in which T is an ideal. Such an idealizer is given byIn ring theory, if A is an additive subgroup of a ring R, then (defined in the multiplicative semigroup of R) is the largest subring of R in which A is a two-sided ideal.In Lie algebra, if L is a Lie ring (or Lie algebra) with Lie product [x,y], and S is an additive subgroup of L, then the setis classically called the normalizer of S, however it is apparent that this set is actually the Lie ring equivalent of the idealizer. It is not necessary to mention that [S,r]⊆S, because anticommutativity of the Lie product causes [s,r] = −[r,s]∈S. The Lie "normalizer" of S is the largest subring of S in which S is a Lie ideal.".
- Idealizer wikiPageID "24575820".
- Idealizer wikiPageRevisionID "597642032".
- Idealizer hasPhotoCollection Idealizer.
- Idealizer subject Category:Abstract_algebra.
- Idealizer subject Category:Group_theory.
- Idealizer subject Category:Ring_theory.
- Idealizer comment "In abstract algebra, the idealizer of a subsemigroup T of a semigroup S is the largest subsemigroup of S in which T is an ideal.".
- Idealizer label "Idealizer".
- Idealizer sameAs m.0807s8_.
- Idealizer sameAs Q5988037.
- Idealizer sameAs Q5988037.
- Idealizer wasDerivedFrom Idealizer?oldid=597642032.
- Idealizer isPrimaryTopicOf Idealizer.