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Rank of an abelian group. In mathematics, the rank, Prüfer rank, or torsion-free rank of an abelian group A is the cardinality of a maximal linearly independent subset. [1] The rank of A determines the size of the largest free abelian group contained in A. If A is torsion-free then it embeds into a vector space over the rational numbers of ...
The tables below contain a sample list of benzodiazepines and benzodiazepine analogs that are commonly prescribed, with their basic pharmacological characteristics, such as half-life and equivalent doses to other benzodiazepines, also listed, along with their trade names and primary uses. The elimination half-life is how long it takes for half ...
Abelian group. In mathematics, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written. That is, the group operation is commutative. With addition as an operation, the integers and the real numbers form abelian ...
Mordell–Weil group. In arithmetic geometry, the Mordell–Weil group is an abelian group associated to any abelian variety defined over a number field . It is an arithmetic invariant of the Abelian variety. It is simply the group of -points of , so is the Mordell–Weil group [1][2]pg 207. The main structure theorem about this group is the ...
Selmer group. In arithmetic geometry, the Selmer group, named in honor of the work of Ernst Sejersted Selmer ( 1951) by John William Scott Cassels ( 1962 ), is a group constructed from an isogeny of abelian varieties .
Senators grilled Novo Nordisk CEO Lars Jørgensen Tuesday at a hearing over the costs of Ozempic, Wegovy and similar weight loss drugs, requesting explanations for why the U.S. faces a higher list ...
Following is a list of antipsychotics, sorted by class. Antipsychotics. Antipsychotics by class Generic name Brand names Chemical class ATC code
Ab is a full subcategory of Grp, the category of all groups. The main difference between Ab and Grp is that the sum of two homomorphisms f and g between abelian groups is again a group homomorphism: The third equality requires the group to be abelian. This addition of morphism turns Ab into a preadditive category, and because the direct sum of ...