Fernández Sánchez, Percy BraulioVelásquez Alarcón, Jorge David2020-02-272020-02-2720192020-02-27http://hdl.handle.net/20.500.12404/16019El presente trabajo se trata de que un anillo (A, m) local, noetheriano, regular, completo de dimensión d, cuya característica sea igual que la de su cuerpo residual (A/m), sea isomorfo al anillo de series formales de potencia en d variables con coeficientes en este cuerpo. Pero si las características son diferentes como por ejemplo la característica de A es cero y la característica de A/m es un número primo p, A no tiene esta estructura, en este caso p estará contenido en m y no estará en m2, entonces se dice que A es inramificado, por lo tanto en este caso A queda completamente determinado por su cuerpo residual (A/m) y su dimensión.The present work is about the fact that a local, noetherian, regular, complete ring (A, m) with dimension d, whose characteristic is the same as that of its residual field (A/m) is isomorphic to the ring of formal series of power in variable d with coefficientes in this field. But if the characteristics are different as for example the characteristic of A is zero and the characteristic of A/mis a prime number p, then A does not have this structure and in this case pwill be contained in the maximal ideal m and will not be contained in m2, then it is said that A is unramified, therefore in this case the ring A is completely determined by its residual field (A/m) and its dimension.spainfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/pe/Álgebra booleanaAnillos (Álgebra)Anillos localesinfo:eu-repo/semantics/masterThesishttps://purl.org/pe-repo/ocde/ford#1.01.00