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
Behboodi, M., Ghorbani, A., & Shojaee, S. H. "$(m,n)$-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.
CHICAGO
Behboodi, M., Ghorbani, A. & Shojaee, S. H., "$(m,n)$-algebraically compactness and $(m,n)$-pure injectivity." Bulletin of the Iranian Mathematical Society, 40 2 (2014): 433–445,
VANCOUVER
Behboodi M., Ghorbani A., Shojaee S. H. $(m,n)$-algebraically compactness and $(m,n)$-pure injectivity. BIMS. 2014;40(2):433–445.
