In this paper, we introduce the notion of $(m,n)$-algebraically compact modules as an analogue of algebraically compact modules and then we show that $(m,n)$-algebraically compactness and $(m,n)$-pure injectivity for modules coincide. Moreover, further characterizations of a $(m,n)$-pure injective module over a commutative ring are given.
Behboodi, M., Ghorbani, A., & Shojaee, S. H. (2014). $(m,n)$-algebraically compactness and $(m,n)$-pure injectivity. Bulletin of the Iranian Mathematical Society, 40(2), 433-445.
MLA
Mahmood Behboodi; Atefeh Ghorbani; Seyed Hossein Shojaee. "$(m,n)$-algebraically compactness and $(m,n)$-pure injectivity". Bulletin of the Iranian Mathematical Society, 40, 2, 2014, 433-445.
HARVARD
Behboodi, M., Ghorbani, A., Shojaee, S. H. (2014). '$(m,n)$-algebraically compactness and $(m,n)$-pure injectivity', Bulletin of the Iranian Mathematical Society, 40(2), pp. 433-445.
VANCOUVER
Behboodi, M., Ghorbani, A., Shojaee, S. H. $(m,n)$-algebraically compactness and $(m,n)$-pure injectivity. Bulletin of the Iranian Mathematical Society, 2014; 40(2): 433-445.
)