automorphism

(redirected from Automorphisms)
Also found in: Dictionary, Wikipedia.

automorphism

[¦ȯd·ō′mȯr‚fiz·əm]
(mathematics)
An isomorphism of an algebraic structure with itself.
References in periodicals archive ?
In the mixing procedure, they use the torus automorphism technique [15] to scramble all secret image pixels, and then the mixed secret image is embedded into the cover image pixel by pixel.
Hou, Characterizations of nest algebra automorphisms, Chinese Ann.
algebra, we need to know about partial automorphisms of a [C.
is an automorphism of H, and the mapping b [right arrow] b * is an embedding of B in Aut H.
VINET, Automorphisms of the q-oscillator algebra and basic orthogonal polynomials, Phys.
Mathematicians and scientists discuss such matters as rigid abelian groups and the probabilistic method, looking for indecomposable right bounded complexes, kernel modules of cotorsion pairs, upper cardinal bounds for absolute structures, subgroups of totally projective primary abelian groups and direct sums of cyclic groups, generic endomorphisms of homogeneous structures, special pairs and automorphisms of centerless groups, and some results on the algebraic entropy.
If Q is a medial quasigroup, then there exist an Abelian group <Q, +, -, 0>, its commuting automorphisms [phi] and [psi], and an element c [member of] Q such that
Paper topics include growth functions on varieties, groups of units in group rings; representation theory of Lie algebras; Jordan, alternative, and Leibniz algebras; graded identities; automorphisms of trees; and partial actions.
Suppose that [sigma], [tau] are automorphisms of R.
a] [member of] Aut(B), the set of all automorphisms of B.
Let n now be arbitrary and let K(z, [omega]) be a positive definite kernel in the ball which remains invariant under all holomorphic automorphisms of the ball and which is the reproducing kernel of a Hilbert space HK of analytic functions in the ball.

Full browser ?