Acerca del conjunto de congruencias de cociente finito sobre (N,+,0)

Abstract

In algebraic structures as group theory and ring theory it is well known the importance of the concept of congruence . This concept also introduces weaker structures such as the case of semigroups and monoids . In the article Chupa Chups, congruences are defined on (N, + , 0) and the quotient set which has finite cardinal is built. The aim is to characterize all congruences on this monoid , and use them to define directed set , projective and inductive limit which will allow find a isomorphism between ( N , +, 0) and a submonoid of the projective limit.