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What (who) is algebra cryptology - definition
WIKIMEDIA LIST ARTICLE
Clock (cryptology)
*-algebra
ALGEBRA EQUIPPED WITH AN INVOLUTION OVER A *-RING
Star algebra; *-homomorphism; * algebra; Involution algebra; Involutive algebra; *-ring; Star-algebra; * ring; Involutory ring; Involutary ring; Star ring; *algebra; Involutive ring
In mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra) is a mathematical structure consisting of two involutive rings and , where is commutative and has the structure of an associative algebra over . Involutive algebras generalize the idea of a number system equipped with conjugation, for example the complex numbers and complex conjugation, matrices over the complex numbers and conjugate transpose, and linear operators over a Hilbert space and Hermitian adjoints.
Abstract algebra
![groups]]. For example, monoids are [[semigroup]]s with identity.](https://commons.wikimedia.org/wiki/Special:FilePath/Algebraic structures - magma to group.svg?width=200 "groups]]. For example, monoids are [[semigroup]]s with identity.")
BRANCH OF MATHEMATICS STUDYING ALGEBRAIC STRUCTURES AND THEIR RELATIONS
Abstract Algebra; Modern algebra; AbstractAlgebra; Applications of abstract algebra; History of abstract algebra; Abstract algebraist
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras over a field.
C*-algebra
BANACH *-ALGEBRA SUCH THAT |𝑥*𝑥|=|𝑥||𝑥*|=|𝑥|²
B*-algebra; C-star algebra; B-star algebra; C* algebra; C-star-algebra; C* Algebra; C* algebras; B-star-algebra; C-*-Algebra; B-*-Algebra; B-*-algebra; C-*-algebra; C*-algebras; B* algebra; Commutative C*-algebra; Cstar algebra; C star algebra; C-algebra; †-algebra; †-closed algebra
In mathematics, specifically in functional analysis, a C∗-algebra (pronounced "C-star") is a Banach algebra together with an involution satisfying the properties of the adjoint. A particular case is that of a complex algebra A of continuous linear operators on a complex Hilbert space with two additional properties:
Wikipedia
Clock (cryptography)
In cryptography, the clock was a method devised by Polish mathematician-cryptologist Jerzy Różycki, at the Polish General Staff's Cipher Bureau, to facilitate decrypting German Enigma ciphers. The method determined the rightmost rotor in the German Enigma by exploiting the different turnover positions. For the Poles, learning the rightmost rotor reduced the rotor-order search space by a factor of 3 (the number of rotors). The British improved the method, and it allowed them to use their limited number of bombes more effectively (the British confronted 5 to 8 rotors).
