Given a mapping f : A → B from a (pre-)ordered set A into an unstructured set B, we study the problem of defining a suitable (pre-)ordering relation on B such that there exists a mapping g : B → A such that the pair of mappings (f, g) forms an adjunction between (pre-)ordered sets. The necessary and sufficient conditions obtained are then expressed in terms of closure operators and closure syst...

In this paper, we first characterize the convex $L$-subgroup of an $L$-ordered group by means of fourkinds of cut sets of an $L$-subset. Then we consider the homomorphic preimages and the product of convex $L$-subgroups.After that, we introduce an $L$-convex structure constructed by convex $L$-subgroups.Furthermore, the notion of the degree to which an $L$-subset of an $L$-ord...

We show that the Bruschlinsky group with the winding order is a homeomorphism invariant for a class of one-dimensional inverse limit spaces. In particular we show that if a presentation of an inverse limit space satisfies the Simplicity Condition, then the Bruschlinsky group with the winding order of the inverse limit space is a dimension group and is a quotient of the dimension group with the ...

Let P = ({1, 2, . . . , n,≤) be a poset that is an union of disjoint chains of the same length and V = Fq be the space of N -tuples over the finite field Fq. Let Vi = F ki q , 1 ≤ i ≤ n, be a family of finitedimensional linear spaces such that k1 + k2 + . . . + kn = N and let V = V1⊕V2⊕ . . .⊕Vn endow with the poset block metric d(P,π) induced by the poset P and the partition π = (k1, k2, . . ....

the disease of thalassemia major requires mangement by repeated transfusions of packed cell and iron chelators such as deferoxamine. today, serum ferritin is used for estimation of adequacy of the management. as the most morbidities and mortalities of the disease are the consequences of cardiac complications. echocardiography is periodically periodically performed along with the management. in ...

the notion of absorbent ordered filters in implicative semigroupsis introduced, and its fuzzification is considered. relations among (fuzzy) orderedfilters, (fuzzy) absorbent ordered filters, and (fuzzy) positive implicativeordered filters are stated. the extensionproperty for (fuzzy) absorbent orderedfilters is established. conditions for (fuzzy) ordered filters to be (fuzzy)absorbent ordered ...

We show that a lattice-ordered field (not necessarily commutative) is totally ordered if and only if each square is positive, answering a generalized question of Conrad and Dauns [6] in the affirmative. As a consequence, any lattice-ordered skew-field in [5] is totally ordered. Furthermore , we note that each lattice order determined by a pre-positive cone P on a skew-filed F is linearly ordere...

this study investigated the impact of sequencing tasks from simple to complex along +/- reasoning demands on the fluency of writing task performance among efl learners. the participants of the study were 90 inter- mediate efl learners from three classes at islamic azad university, shahr-e-qods branch in iran. they were distributed in three groups: experimental a, experimental b, and a control g...