32 - M. Behboodi (Joint with A. Ghorbani and S.H. Shojaee), (m,n)-algebraically compactness for modules and (m,n)-pure injectivity, Bull. Iranian Math. Soc. (Accepted)
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 char-
acterizations of a (m, n)-pure injective module over a commutative ring are given.