the aim of this paper is to establish a fuzzy version of the dualitybetween domains and completely distributive lattices. all values aretaken in a fixed frame $l$. a definition of (strongly) completelydistributive $l$-ordered sets is introduced. the main result inthis paper is that the category of fuzzy domains is dually equivalentto the category of strongly completely distributive $l$-ordereds...

This paper consists of two parts. In the first auxilliary part, we deal with sets with cyclic order. For any such set O we introduce following [BG] a cocycle l : G × G → Z valued in {0,±1} ⊂ Z on the group G of automorphisms of O. The cohomology class of l in H(G,Z) will be called the Euler class. If K is an ordered field, then the projective line P(K) has a cyclic order and PSL2(K) acts orderp...

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 intersection of all two-sided ideals of an ordered semigroup, if it is non-empty, is called the kernel of the ordered semigroup. A left ideal L of an ordered semigroup (S, ·,≤) having a kernel I is said to be simple if I is properly contained in L and for any left ideal L′ of (S, ·,≤), I is properly contained in L′ and L′ is contained in L imply L′ = L. The notions of simple right and two-s...

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 ...

This paper focuses on the relationship between an $L$-subset and the system of level-elements induced by it, where the underlying lattice $L$ is a complete residuated lattice and the domain set of $L$-subset is an $L$-partially ordered set $(X,P)$. Firstly, we obtain the sufficient and necessary condition that an $L$-subset is represented by its system of level-elements. Then, a new representat...

In this talk I will review some recent progress in our understanding of properties of high density quark matter. This talk is based mainly on the papers [1]–[4], done in collaboration with D. Rischke, M. Stephanov, and A. Zhitnitsky. In recent years, our knowledge of dense quark matter has considerably expanded. We now understand that, quark matter at high densities exhibits the phenomenon of c...