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2. Centralizer and normalizer - Wikipedia

   en.wikipedia.org/wiki/Centralizer_and_normalizer

   In ring theory, the centralizer of a subset of a ring is defined with respect to the multiplication of the ring (a semigroup operation). The centralizer of a subset of a ring R is a subring of R. This article also deals with centralizers and normalizers in a Lie algebra. The idealizer in a semigroup or ring is another construction that is in ...

3. Double centralizer theorem - Wikipedia

   en.wikipedia.org/wiki/Double_centralizer_theorem

   The map r → m r is a ring homomorphism of R into the ring E, and we denote the image of R inside of E by R M. It can be checked that the kernel of this canonical map is the annihilator Ann(M R). Therefore, by an isomorphism theorem for rings, R M is isomorphic to the quotient ring R/Ann(M R). Clearly when M is a faithful module, R and R M are ...

4. Glossary of ring theory - Wikipedia

   en.wikipedia.org/wiki/Glossary_of_ring_theory

   1. The centralizer of a subset S of a ring is the subring of the ring consisting of the elements commuting with the elements of S. For example, the centralizer of the ring itself is the centre of the ring. 2. The double centralizer of a set is the centralizer of the centralizer of the set. Cf. double centralizer theorem. characteristic 1.

5. Centrally closed subgroup - Wikipedia

   en.wikipedia.org/wiki/Centrally_closed_subgroup

   In mathematics, in the realm of group theory, a subgroup of a group is said to be centrally closed if the centralizer of any non identity element of the subgroup lies inside the subgroup. This property is useful in understanding group structures, normalizers, and Galois theory .

6. Make better TikToks with a ring light and tripod kit on sale

   www.aol.com/news/better-tiktoks-ring-light...

   Grab the ring light and tripod kit for $119.99 as of Jan. 30, a savings of 60%. If you regularly film YouTube videos, go live on Instagram, or create TikToks in your spare time, you could benefit ...

7. Multipliers and centralizers (Banach spaces) - Wikipedia

   en.wikipedia.org/wiki/Multipliers_and...

   The centralizer (or commutant) of X, denoted Z(X), is the set of all multipliers on X for which an adjoint exists. Properties.

8. The Best (and Worst) Places to Live on Minimum Wage in America

   www.aol.com/finance/best-worst-places-live...

   No. 10 Best: Buffalo, New York. Buffalo is home of the NFL Bills, the Goo Goo Dolls, and huge amounts of snow. However, in exchange for heavy winters, you’ll get reasonable housing costs.

9. As more women turn to testosterone, here's what to know ... - AOL

   www.aol.com/more-women-turn-testosterone-heres...

   When Grayson Smith, a 23-year-old woman from Texas, started feeling sluggish and tired in the afternoons, she said a blood test she had low testosterone, a sex hormone traditionally associated ...