Some properties of Associate and Presimplifiable rings

Authors : Manal Ghanem

Pages : 333-340

View : 16 | Download : 9

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :In this paper we study some properties of associate and presimplifiable rings. We give a characterization of the associate (resp., domainlike) pullback P of R1 \rightarrow{R3} \leftarrow{R2}, where R1 and R2 are two presimplifiable (resp., domainlike) rings. We prove that R is presimplifiable ring if and only if the factor ring R/{nil(R)} is presimplifiable and the ideal nil(R) is presimplifiable. Then we investigate the associate and presimplifiable property of the dual rings {R[x]/\langle{x2}\rangle} and its modules through the base ring R and its modules.
Keywords : Associate ring, presimplifiable ring, domainlike, pullback and dual ring