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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The pull-back [g.sup.*]: [N.sup.1.sub.C](Y) [equivalent] [N.sup.1.sub.C](Y) induces an automorphism of H.
Some preliminary results about monoidal Hom-algebras with Frobenius property have been studied, such as when finite dimensional monoidal Hom-Hopf algebras are Frobenius associated with integral spaces [16], the structures of separable and Frobenius monoidal Hom-algebras related to the Hom-Frobenius-separability equation, as well as the Nakayama automorphism of Frobenius monoidal Hom-algebras [24], and so on.
Since the Dunkl transform is an automorphism of S([R.sup.d]), the space is a closed linear subspace of S([R.sup.d]).
This endomorphism is an automorphism if and only if k and 5 are coprime.
Similarly we can define [mathematical expression not reproducible] is the identity automorphism of [mathematical expression not reproducible].
Next we would determine the automorphism group of the digraph G(H, f).
Let [GAMMA] be a graph with automorphism group Aut([GAMMA]).
Bhutani, "On automorphisms of fuzzy graphs," Pattern Recognition Letters, vol.
(i) If [mathematical expression not reproducible] is a finite field, then [mathematical expression not reproducible] is a cyclic group of order m and is generated by Frobenius automorphism [[phi].sub.p].
A topological index is a numeric quantity associated with a graph which characterize the topology of graph and is invariant under graph automorphism. There are some major classes of topological indices such as distance based topological indices, degree based topological indices and counting related polynomials and indices of graphs.

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