… of E consisting of the endomorphisms of M given by multiplication by elements of RIP. Making
this identification we haveRIPCFCE. F, being the center of a simple ring with identity, is a …

… Then the center of C(R; V) cannot contain nonzero nilpotent elements. Hence the center of
R cannot contain nilpotent elements so the center of R is a direct sum of fields. Thus if n is the …

… If G is a group, then Z(G) and G' = [G, G] are its center and commutator subgroup,
respectively. Our near-ring notations are the same as in the book by J. D. P, Meldrum [3]. …

… problem of computing the endomorphism ring of a prescribed abelian … algorithms for computing
endomorphism rings of ordinary … e center of the endomorphism ring End( ) of an abelian …

… Finally, suppose that there exists an element a E center of F such that a I$ (3F’ and a is not
quadratic over FT. Then a = a 1 E (center of F) 1 = center of D, and a is not quadratic over Da …

… ring in a ring with identity and then embedding this second ring into a ring of endomorphisms.
So… central and strict endomorphisms with images in the center. I::; this really necessary? A. …

… , ie, on abelian groups whose endomorphism ring is a left Goldie-ring. Because the defining
… whether the endomorphism rings of these groups have finite rank over their center. The …

… 同:) 1況はse /1.1 is R-fiat, if R isa FQ-ringぅ then bothS andQ are … Proof Since every ring
epimorphic image of A is a semisimple Rｭ algebra, we canassume M is A-faithful andA is R同…

… PM Cohn called a ring R reversible … rings and reduced rings are reversible. In this paper,
we extend the reversible condition of a ring as follows: Let R be a ring and α an endomorphism …

… near-ring generated by S is said to be tame. Throughout this paper we shall restrict our
attention to tame endomorphisms near-rings. … for a tame endomorphism near-ring satisfying the …