For the whole class of linear term rewriting systems and for each integer k, we define k-bounded rewriting as a restriction of the usual notion of rewriting. We show that the k-bounded uniform termination, the k-bounded termination, the inverse k-bounded uniform, and the inverse kbounded problems are decidable. The k-bounded class (BO(k)) is, by definition, the set of linear systems for which e...

Let L be the generalized mixed product ideal induced by a monomial ideal I. In this paper we compute powers of the genearlized mixed product ideals and show that Lk  have a linear resolution if and only if Ik have a linear resolution for all k. We also introduce the generalized mixed polymatroidal ideals and prove that powers and monomial localizations of a generalized mixed polymatroidal ideal...

We study the subgroup of k -automorphisms of k ⁢ [ x , y ] which commute with a simple derivation d of k ⁢ [ x , y ] . We prove, for instance, that this subgroup is trivial when d is a shamsuddin simple derivation. in the general case of simple derivations, we obtain properties for the elements of this subgroup.

The following paper includes a derivation of practical KedemKatchalsky (K-K) equations for the volume flow Jν and the solute flow Js for non-electrolytes. This derivation makes the equations clearer and consequently their interpretation also becomes easier. The equations have been derived on the basis of the analysis of the membrane transport generated by simultaneous action of two thermodynami...

In this paper, using Clarke’s generalized directional derivative and dI-invexity we introduce new concepts of nonsmooth K-α-dI-invex and generalized type I univex functions over cones for a nonsmooth vector optimization problem with cone constraints. We obtain some sufficient optimality conditions and Mond-Weir type duality results under the foresaid generalized invexity and type I cone-univexi...

where k denotes a constant; (2) The curves of J are a linear system; that is, a point transformation exists which converts them into the straight lines of a plane. I t is natural to inquire what class of surfaces we shall obtain if, instead of using property (2), we make the less specific demand that a point transformation exists which converts the curves of J into the geodesies of another surf...

We introduce a Wilson line distribution function W τ (v) to study gluon saturation at small Feynman x F , or large τ = ln(1/x F ). This new distribution can be obtained from the distribution Wτ (α) of the Color Glass Condensate model and the JIMWLK renormalization group equation. W τ (v) is physically more relevant, and mathematically simpler to deal with because of unitarity of the Wilson line...