We revisit the incompatibility of anonymity and neutrality in single-valued social choice. first analyze irresoluteness outlook these two axioms together with Pareto efficiency impose on choice rules deliver a method to refine irresolute without violating anonymity, neutrality, efficiency. Next, we propose weakening called consequential that requires resolute assign each alternative same number...

A graph G = (V, E) is called weakly four-connected if G is 4-edge-connected and G − x is 2-edge-connected for all x ∈ V . We give sufficient conditions for the existence of ‘splittable’ vertices of degree four in weakly four-connected graphs. By using these results we prove that every minimally weakly fourconnected graph on at least four vertices contains at least three ‘splittable’ vertices of...

in this paper we introduce the concept of weakly prime ternary subsemimodules of a ternary semimodule over a ternary semiring and obtain some characterizations of weakly prime ternary subsemimodules. we prove that if $n$ is a weakly prime subtractive ternary subsemimodule of a ternary $r$-semimodule $m$, then either $n$ is a prime ternary subsemimodule or $(n : m)(n : m)n = 0$. if $n$ is a $q$-...

topological graph (AT-graph): A = (G, R); G = (V, E) is a graph, R ⊆ ( E 2 ) in a topological graph T ... RT = set of crossing pairs of edges AT-graph A is realizable if there exists a topological graph T which is a drawing of G and RT = R. simply realizable ... T is simple rectilinearly realizable ... edges of T are straight-line segments weakly realizable ... RT ⊆ R Abstract topological graph...

In this note we shall announce results concerning the structure of £^0^)> the space of 2s-valued functions integrable with respect to a measure m:H->L(E, F), where L(E,F) is the class of bounded operators from the Banach space E into the Banach space F. The bilinear integration theory introduced here is more restrictive than the one developed by Bartle [1], but it is general enough to allow a n...

Let E be a rearrangement-invariant Banach function space on [0, 1], and let Γ(E) denote the set of all p ≥ 1 such that any sequence {xn} in E converging weakly to 0 has a subsequence {yn} with supm m−1/p‖ ∑ 1≤k≤m yn‖ < ∞. The set Γi(E) is defined similarly, but only sequences {xn} of independent random variables are taken into account. It is proved (under the assumption Γ(E) = {1}) that if Γi(E...

In this paper we give some necessary and sufficient conditions for which each Banach lattice  is    space and we study some properties of b-weakly compact operators from a Banach lattice  into a Banach space . We show that every weakly compact operator from a Banach lattice  into a Banach space  is b-weakly compact and give a counterexample which shows that the inverse is not true but we prove ...

A graph G = (V,E) is said to be weakly four-connected if G is 4-edgeconnected and G− x is 2-edge-connected for every x ∈ V . We prove that every weakly four-connected Eulerian graph has a 2-connected Eulerian orientation. This verifies a special case of a conjecture of A. Frank.

primary-like and weakly primary-like submodules are two new generalizations of primary ideals from rings to modules. in fact, the class of primary-like submodules of a module lie between primary submodules and weakly primary-like submodules properly.  in this note, we show that these three classes coincide when their elements are submodules of a multiplication module and satisfy the primeful pr...

objective: metal concentrations in 53 soil samples of shahr-e-babak were determined.  methods: assessment of enrichment factor and geo-accumulation index revealed higher degree of contamination of cd, pb, and cu in soil samples. moreover, results of metal fractionation study revealed high amount of cd and pb are associated in weakly bounds may lead to environmental risk of these metals.  result...