Since each q [member of] Q is a regular

epimorphism, it is the coequalizer of some pair of morphisms.

2]-filt, then we get the associated graded

epimorphism preserving the degree i.

In case D is the class of all

epimorphisms (monomorphisms) of B we say that A is epireflective (monoreflective) in B.

On the other hand, since (l, [LAMBDA]) is an

epimorphism, we have ([j.

A split

epimorphism f: A [right arrow] B with given splitting s: B [right arrow] A in a Jonsson-Tarski variety is a Schreier split

epimorphism when, for every a [member of] A, there exists a unique [alpha] in the kernel N of f such that a = [alpha] + sf (a).

2 Suppose that f | X [right arrow] Y is an

epimorphism of B-algebra.

Equivalently, E is a short exact sequence, iff Ima = Kerb , a being a monomorphism and b being an

epimorphism.

An injective homomorphism is called monomorphism, a surjective homomorpism is called

epimorphism and a bijective homomorphism is called isomorphism.

r)], for 1 [less than or equal to] u [less than or equal to] r, defined by the vector bundle

epimorphism [P.

We assume that f : X [approaches] B is a fibration with H* (X; Z/(p)) concentrated in even dimensions and that g induces an

epimorphism on mod p cohomology.

Moreover, there is a canonical ring

epimorphism from r(H) onto [G.

Epimorphism, monomorphism, isomorphism, endomorphism and automorphism of [phi] have the same definitions as those of the classical cases.

1](G) is an ([alpha],[beta])-fuzzy subalgebra of X, (ii) Let f be

epimorphism.

prime^ induces a rational

epimorphism between the higher homotopy groups of two finite type targets, and X is a finite type domain, then

The canonical

epimorphism H [right arrow] Q denoted by h [?