Turkish Journal of Mathematics
DOI
10.3906/mat-1009-1
Abstract
Let R be a commutative ring and C be a semidualizing R-module. For a given class of R-modules Q, we define a class Q_C by M \in Q_C \Leftrightarrow Hom_R(C,M) \in Q. We prove that if Q \subseteq (R) is a Kaplansky class and closed under direct sums, then Q_C^{\bot} is special preenveloping. As corollaries, we can show that p_C^{n \bot} and f_C^{n \bot} are both special preenveloping. Finally, we show that I_C^n is covering, I_C^{n \bot} is enveloping and special preenveloping provided R is Noetherian.
First Page
601
Last Page
610
Recommended Citation
YAN, XIAOGUANG and ZHU, XIAOSHENG
(2011)
"Covers and envelopes with respect to a semidualizing module,"
Turkish Journal of Mathematics: Vol. 35:
No.
4, Article 1.
https://doi.org/10.3906/mat-1009-1
Available at:
https://journals.tubitak.gov.tr/math/vol35/iss4/1
