To prove the theorem, the characterizations of these groups by their endomorphism
semigroups will be given.
Let f: X [right arrow] X be a non-isomorphic etale endomorphism
of a smooth projective variety X.
It discusses foundations of the theory, questions about endomorphism
rings of divisible primary modules and complete torsion-free modules, the problem of existence of an isomorphism from an abstract ring onto the endomorphism
ring of some module, torsion-free modules, mixed modules, the possibility of an isomorphism of two modules with isomorphic endomorphism
rings, and transitive or fully transitive modules.
(2010a, b) associated and correlated the best personal execution times of running tests with the endomorphic component between males and females and found better performances in athletes with a lower endomorphism
and, consequently, lower body fat, as observed in Table II of our study, where males show significantly lower body fat values than females and lower adipose components such as endomorphy and 6 [pounds sterling] skinfolds, which may influence the sports performance of females.
For a right R-module M, we denote S = [End.sub.R](M) for its endomorphism
A Hom-Lie algebra in  is a triple (L, [-,-], [alpha]) consisting of vector space L, bilinear map [-,-] : [L.sup.[cross product]2] [right arrow] L (called the "bracket"), and a linear endomorphism
[alpha] : L [right arrow] L satisfying
A derivation of A is an endomorphism
of A satisfying
Certainly there is no example in which f is of the form f(v) = A(v)/||A(v)|| for some non-singular R-linear endomorphism
Under the submersivity assumption (7) the operator [sigma] is an injective endomorphism
and the pair (K,[sigma]) a difference field ([see.sup.2] ).
The aim of the present work is to extend these objects to an arbitrary vector bundle E endowed with a non-degenerate quadratic endomorphism
[lambda] and a given covariant derivative [nabla].
However, another study by Purenovic-Ivanovic and Popovic (25) with 40 high-level Serbian rhythmic gymnasts, divided into 5 different categories, including beginners (n = 5, 8.99 [+ or -] 1.16 years), young junior (n = 12; 11.07 [+ or -] 0.73), cadets (n = 6, 12.84 [+ or -] 0.65), junior (n = 12; 14.51 [+ or -] 0.78), and senior (n = 5; 18.13 [+ or -] 1.18) found that the endomorphism
component increases with age while the other two (second and third) are very stable over the years.