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.

Let D n;k denote the subspace arrangement formed by all linear subspaces in R n given by equations of the form k. Some important topological properties of such a subspace arrangement depend on the topology of its intersection lattice. In previous work on a larger class of subspace arrangements by Bjj orner & Sagan BS] the topology of the intersection lattice L(D n;k) = n;k turned out to be a pa...

In French, regardless of stem regularity, inflectional verbal suffixes are extremely regular and paradigmatic. Considering the complexity of the French verbal system, we argue that all French verbs are polymorphemic forms that are decomposed during visual recognition independently of their stem regularity. We conducted a behavioral experiment in which we manipulated the surface and cumulative f...