By an endomorphism f: X [right arrow] X, we mean a

morphism from a projective variety X to itself.

The coproduct of (A, f, B),(C, g, B) [member of] Ob(S(B)) is a triple ((A [??] C, h, B), [alpha], [beta]), where (A [??] C, h, B) [member of] Ob(S(B)), [alpha] [member of] Mor((A, f, B),(A [??] C, h, B)), [beta] G Mor((C, g, B),(A [??] C, h, B)) such that for every (X, j, B) [member of] Ob(S(B)) and every pair of

morphisms [gamma] [member of] Mor((A, f, B),(X, j, B)) and [delta] [member of] Mor((C, g, B),(X, j, B)) there exists a unique

morphism [theta] [member of] Mor((A [??] C, h, B),(X, j, B)) such that [theta] [??] [alpha] = [gamma] and [theta] [??] [beta] = [delta]

Let (A, *) be a Maltsev algebra and [alpha] : A [right arrow] A an algebra

morphism. Let [[alpha].sup.0] = id and, for any integer n [greater than or equal to] 1, [[alpha].sup.n] = [alpha] [??] [[alpha].sup.n-1].

A

morphism of left (A, [alpha])-Hom-modules is a

morphism of left A-modules in the Hom-category [??]([M.sub.k]).

Suppose that Z is another compact ENR and that b/q is a

morphism from Y to Z prescribed by a fibrewise manifold q : [~.Y] [right arrow] Y with fibres of dimension n and a map b : [~.Y] [right arrow] Z.

Consider the identity

morphism [G.sub.1] to [G.sub.1].

Let [phi] : ([X.sub.1], [f.sub.1]) [right arrow] ([X.sub.2], [f.sub.2]) be a

morphism of dynamical systems.

A

morphism of a direct system [{[P.sub.i], [r.sup.i.sub.j]}.sub.I] to a direct system [{[Q.sub.i'], [[rho].sup.i'.sub.j']}.sub.I'] consists of an order preserving map f: I [right arrow] I' and A-module

morphisms [[PHI].sub.i]: [P.sub.i] [right arrow] [Q.sub.f(i)] which obey compatibility conditions [[rho].sup.f(i).sub.f(j)] [omicron] [[PHI].sub.i] = [[PHI].sub.J] [omicron] [r.sup.i.sub.j].

Then f: (X, [A.sub.X]) (Y, [A.sub.Y]) is called a

morphism if [A.sub.X] [subset] [f.sup.-1] ([A.sub.Y]), i.e.,

We illustrate the previous notions on the Thue--Morse word t, the fixed point of the

morphism 0 [??] 01 and 1 [??] 10 starting with 0, i.e., t = 011010011001011010 x x x.

Indeed, by the cyclicity (7.2.3) of the tensor factor [??] of [mathematical expression not reproducible], and by the structure theorem (6.3) of the tensor factor [??] of [mathematical expression not reproducible], the

morphism [E.sub.p] of (7.2.6) is well-defined from [mathematical expression not reproducible] "onto" [??], for p [member of] P.

Histological and immunohistochemical examinations revealed that the tumor had inconspicuous nuclear

morphism and plenty of renin granules in the cytoplasm.