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.
Keywords
Associate ring, presimplifiable ring, domainlike, pullback and dual ring
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
