In this paper, we study the notion of solvable $L$-subgroup of an $L$-group and provide its level subset characterization and this justifies the suitability of this extension. Throughout this work, we have used normality of an $L$-subgroup of an $L$-group in the sense of Wu rather than Liu.

the phenylthiourea-substituted triethoxysilane as a silane agent was synthesized and grafted on highly ordered nanoporous silica (lus-1) with a textured morphology and hexagonal array. this material (tu-lus-1) contained 0.8 mmol/g of soft base phenylthiourea group and surface area 760 m2g-1 and was able to adsorb 0.75 mmolhg/g of tu-lus-1 in endothermic reaction.

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 describe classes of existentially closed ordered difference fields and rings. We show an Ax-Kochen type result for a class of valued ordered difference fields. 1. Existentially closed real-closed difference fields. In the first part of this paper we will consider on one hand difference totally ordered fields, namely totally ordered fields with a distinguished automorphism σ and on the other ...

Among the class of finite integral commutative residuated chains (ICRCs), we identify those algebras which can be obtained as a nuclear retraction of a conuclear contraction of a totally ordered Abelian l-group. We call the ICRCs satisfying this condition regular. Then we discuss the structure of finite regular ICRCs. Finally, we prove that the class of regular members generate a strictly small...

We study chains in an H-closed topological partially ordered space. We give sufficient conditions for a maximal chain L in an H-closed topological partially ordered space such that L contains a maximal (minimal) element. Also we give sufficient conditions for a linearly ordered topological partially ordered space to be H-closed. We prove that any H-closed topological semilattice contains a zero...

in this paper, the possibility of using a new ordered nanoporous carbon as a new fiber in headspace solid phase microextraction (hs-spme) to determine of mononitrotoluenes (mnts) in waste water is demonstrated. the structural order and textural properties of the ordered nanoporous carbon were studied by x ray diffraction (xrd), scanning electron microscopy (sem) images and nitrogen adsorption i...

A computable presentation of the linearly ordered set (ω,≤), where ω is the set of natural numbers and ≤ is the natural order on ω, is any linearly ordered set L = (ω,≤L) isomorphic to (ω,≤) such that ≤L is a computable relation. Let X be subset of ω and XL be the image of X in the linear order L under the isomorphism between (ω,≤) and L. The degree spectrum of X is the set of all Turing degree...

A partial linear space is a pair $(\mathcal{P},\mathcal{L})$ where $\mathcal{P}$ non-empty set of points and $\mathcal{L}$ collection subsets called lines such that any two distinct are contained in at most one line, every line contains least points. proper when it not or graph. group automorphisms $G$ acts transitively on ordered pairs collinear non-collinear precisely transitive rank 3 In thi...

A chiral molecular gelation system, as a host, was used to effectively realize enantioselectivity using the simple carboxylic acid functional group. For this purpose, an L-glutamic-acid-based lipidic amphiphile (G-CA) with head group selected and its responsiveness cationic guest molecules investigated. The dispersion morphology of G-CA in solution state examined by confocal transmission electr...