In this article, we present $GPW$-flatness property of acts over monoids, which is a generalization of principal weak flatness. We say that a right $S$-act $A_{S}$ is $GPW$-flat if for every $s in S$, there exists a natural number $n = n_ {(s, A_{S})} in mathbb{N}$ such that the functor $A_{S} otimes {}_{S}- $ preserves the embedding of the principal left ideal ${}_{S}(Ss^n)$ into ${}_{S}S$. We...

a familiar criticism of kant, made by hegel and his followers, j .s. mill and others, is that there are no maxims that are in fact contradictory, as required for morality on kant's view. in this paper, i discuss the suggestion that our capacity for rational reflection itself implies universality, and that it is this universality that obliges us to act morally. i consider the idea that self...

Let $S$ be a monoid. In this paper, we prove every class of $S$-acts having a flatness property is closed underdirected colimits, it extends some known results. Furthermore thisresult implies that every $S$-act has a flatness cover if and only if it has a flatness precover.

let $s$ be a monoid. in this paper, we prove every class of $s$-acts having a flatness property is closed underdirected colimits, it extends some known results. furthermore thisresult implies that every $s$-act has a flatness cover if and only if it has a flatness precover.

Florida has experienced more population growth over the past half century than any other state, which has led to some of the most extensive urban development on valuable agricultural lands. To address this and other impacts of sprawl, Florida passed the Growth Management Act (GMA) in 1985, which among other things required local comprehensive planning and that it be consistent with a state plan...