Question

In basic ring theory, any ring R1 may be embedded in its own ________

(a) semilattice

(b) endomorphism ring

(c) homomorphic ring

(d) subgroup

I had been asked this question in class test.

My query is from Graph’s Matrices topic in division Graphs of Discrete Mathematics

Answer 1

Right answer is (b) endomorphism ring

To elaborate: We know that in basic ring theory, any ring R with its identity can be embedded in its own endomorphism ring and this is one of the most important characterization of rings. The endomorphism ring can contain a copy of its ring.