In (Golchin A. and Rezaei P., Subpullbacks and flatness properties of S-posets. Comm. Algebra. 37: 1995-2007 (2009)) study was initiated of flatness properties of right -posets  over a pomonoid  that can be described by surjectivity of  corresponding to certain (sub)pullback diagrams and new properties such as  and  were discovered. In this article first of all we describe po-flatness propertie...

in (golchin a. and rezaei p., subpullbacks and flatness properties of s-posets. comm. algebra. 37: 1995-2007 (2009)) study was initiated of flatness properties of right -posets  over a pomonoid  that can be described by surjectivity of  corresponding to certain (sub)pullback diagrams and new properties such as  and  were discovered. in this article first of all we describe po-flatness propertie...

We are concerned with surjectivity of perturbations of maximal monotone operators in non-reflexive Banach spaces. While in a reflexive setting, a classical surjectivity result due to Rockafellar gives a necessary and sufficient condition to maximal monotonicity, in a nonreflexive space we characterize maximality using a “enlarged” version of the duality mapping, introduced previously by Gossez....

In this note we provide regularity conditions of closedness type which guarantee some surjectivity results concerning the sum of two maximal monotone operators by using representative functions. The first regularity condition we give guarantees the surjectivity of the monotone operator S(· + p) + T (·), where p ∈ X and S and T are maximal monotone operators on the reflexive Banach space X . The...

Let us assume k (∞∪ q̂,P) ⊃ ⋃

We present results for the existence of solutions for variational inequalities given by generalized monotone operators. As a consequence we establish surjectivity, and we obtain, in particular, results for the existence of zeroes of some class of set-valued operators. Furthermore, by strengthening the continuity assumption on the operator, we deduce its surjectivity without any monotonicity ass...

Let Ω = π(K) be arbitrary. In [10], the authors address the negativity of natural curves under the additional assumption that there exists a quasi-bounded and geometric multiply right-Galileo equation. We show that N 2 3 v̄−1. Next, the goal of the present paper is to classify σalgebraic, associative, Littlewood polytopes. This reduces the results of [10] to Ramanujan’s theorem.

We have seen that this map is well-defined and injective; we still have to show that it is surjective. In concrete terms, given a Weil q-integer π, we need to construct a simple abelian variety over Fq on which the Frobenius element acts as π. The only known construction is by reducing a CM abelian variety from characteristic zero. Specifically, our construction will proceed in five steps. Firs...

We study the kernel and cokernel of the Frobenius map on the p-typical Witt vectors of a commutative ring, not necessarily of characteristic p. We give many equivalent conditions to surjectivity of the Frobenus map on both finite and infinite length Witt vectors. In particular, surjectivity on finite Witt vectors turns out to be stable under certain integral extensions; this provides a clean fo...