We prove that an endomorphism $f$ of affine space is injective on rational points if its B\'ezoutian constant. Similarly, at a given point reduced also show the Jacobian determinant invertible, then and only

Industrial scale injection of anthropogenic carbon dioxide into the crustal lithosphere has been proposed to reduce atmospheric accumulation. Much of this injection is expected to occur in saline reservoirs. An understanding of two-phase brine-CO2 flow is necessary for predicting storage capacity, fluid migration, and injectivity in geologic reservoirs. Additionally, the chemical reactivity of ...

Moore and Myhill showed that Garden-of-Eden theorem [2], [3]. A binary relation over the configurations is said to be "parallel" if it is induced by a cellular (tessellation) automaton. Richardson showed the equivalence between a parallel relation (a nondeterministic parallel map) with the quiescent state to be injective and its inverse to be parallel by the Garden-of-Eden theorem plus compactn...

The class Md of sequentially dense monomorphisms were first defined and studied by Giuli, Ebrahimi, and Mahmoudi for projection algebras (acts over the monoid (N∞, min), of interest to computer scientists, as studied by Herrlich, Ehrig, and some others) and generalized to acts over arbitrary semigroups. Mdinjectivity has been shown by some of the above authors to be also useful in the study of ...