automorphism

Then is it true that for any KX-negative extremal ray R [subset] [bar.NE](X) of divisorial type, there exists a positive integer k such that [([f.sup.k]).sub.*](R) = R for the automorphism [([f.sup.k]).sub.*] : [N.sub.1](X) [equivalent] [N.sub.1](X) induced from the k-th power [f.sup.k] = f [??] ...

Nakayama automorphism is a distinguished k-algebra automorphism of a Frobenius algebra A which measures how far A is from being a symmetric algebra, where k is a fixed field.

(iii) The Dunkl transform f [right arrow] [??] is a topological automorphism on S([R.sup.d]).

g--the inner automorphism of G, generated by an element g [member of] G;

[[bar.f].sub.n] is a braid-like automorphism of [F(k)/F[(k).sub.n]] that is (i) it sends the class of each generator [[alpha].sub.i] into a conjugate of itself and (ii) it sends the class of the product [[alpha].sub.1] [[alpha].sub.2] ...

We also give an explicit form of the automorphism group of G(H, f).

Graph r is called a vertex-transitive graph, if, for any x, y [member of] V, there is some [pi] in Aut([GAMMA]), the automorphism group of [bar.[GAMMA]], such that [pi](x) = y.

Bhutani [2] discussed automorphism of fuzzy graphs.