automorphism


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Related to automorphism: Inner automorphism

automorphism

[¦ȯd·ō′mȯr‚fiz·əm]
(mathematics)
An isomorphism of an algebraic structure with itself.
References in periodicals archive ?
To every loop (L, *) with automorphism group AU M (L, *), there corresponds another loop.
alpha], [beta]], P] with X = E([GAMMA]) is an automorphism of map M iff [for all]v [member of] V (M), g preserves the cyclic order of v.
For security, partial encryption and torus automorphism are applied.
The following proposition which is a relation between multiplier algebras and actions of inverse semigroup shows that, for given partial automorphism ([MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]) we can construct an element of M ([E.
Looking at recent results in the area of ergodic theory (the mathematical study of dynamical systems with an invariant measure) concerning the complexity of the problem of classification of ergodic measure preserving transformations up to conjugacy, the structure of the outer automorphism group of a countable measure preserving equivalence relation, ergodic theoretic characterizations with the Haagerup approximation property, and cocycle superrigidity, the author of this monograph realized that these apparently diverse results can all be understood within a unified framework.
is an automorphism of H, and the mapping b [right arrow] b * is an embedding of B in Aut H.
The picture is very different in the non-abelian case as the characters have to be replaced by representations, which are homomorphisms to certain (non-abelian) automorphism groups, and the dual group does not necessarily exist (for more details see [17, 18, 33]).
Cambrian rotation is an automorphism of the Cambrian graph.
The second volume deals with realization theorems from perspectives of prediction principles; endomorphism algebras and automorphism groups; modules and rings related to algebraic topology; large cellular cover, localizations, and E(R)-algebras; and some useful classes of algebras.
Automorphism groups of maps, surfaces and Smarandache geometries.

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