Turkish Journal of Mathematics
Article Title
DOI
10.3906/mat-0909-14
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 R_1 \rightarrow{R_3} \leftarrow{R_2}, where R_1 and R_2 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{x^2}\rangle} and its modules through the base ring R and its modules.
First Page
333
Last Page
340
Recommended Citation
GHANEM, MANAL
(2011)
"Some properties of Associate and Presimplifiable rings,"
Turkish Journal of Mathematics: Vol. 35:
No.
2, Article 14.
https://doi.org/10.3906/mat-0909-14
Available at:
https://journals.tubitak.gov.tr/math/vol35/iss2/14
