The main purpose of this paper is to study the approximate best proximity pair of cyclic maps and their diameter in fuzzy normed spaces defined by Bag and Samanta. First, approximate best point proximity points on fuzzy normed linear spaces are defined and four general lemmas are given regarding approximate fixed point and approximate best proximity pair of cyclic maps on fuzzy normed spaces. U...

Let R $R$ be a ring with identity. Inspired by recent work in Emmanouil, Preprint, 2021, we show that the derived category of is equivalent to chain homotopy all K-flat complexes pure-injective components. This implicitly related recollement exhibit. It expresses D p u r ( ) $\mathcal {D}_{pur}(R)$ , pure as an attachment usual {D}(R)$ Emmanouil's quotient K − f l t : = / F {D}_{\textnormal {K-...

in this paper, we give connection between the order of the generalized baer-invariant of a pair of finite groups and its factor groups, when ? is considered to be the specific variety. moreover, we give a necessary and sufficient condition in which the generalized baer-invariant of a pair of groups can be embedded into the generalized baer-invariant of pair of its factor groups.

in this article, theoretical studies on the selective complexation of the halide ions (f¯, cl¯ and br¯) and ion pairs (na+f¯, na+cl¯ and na+br¯) with the cyclic nano-hexapeptide (cp) composed of l-proline have been performed in the gas phase. in order to calculate the dispersion interaction energies of the cp and ions, dft-d3 calculations at the m05-2x-d3/6-31g(d) level was employed. based on t...

pair and small group work is infrequently welcomed in english as a foreign language (efl) classes under the assumption that students tend to use their first language (l1), which is considered detrimental to learning the new language. from sociocultural perspective, however, students’ first language is claimed to play the role of an important psychological tool and can facilitate the learning pr...

a simple extractive spectrophotometric method has been developed for the estimation of miconazole nitratein both pure and pharmaceutical preparation. the method is based on the formation of ion-pair complex of thedrug with acidic dye bromothymol blue (btb) in acidic condition, followed by its extraction in organic solvent(chloroform). the absorbance was measured against the corresponding blank....

We show that a recently introduced Lax pair of the Sawada-Kotera equation is nota new one but is trivially related to the known old Lax pair. Using the so-called trivialcompositions of the old Lax pairs with a differentially constrained arbitrary operators,we give some examples of trivial Lax pairs of KdV and Sawada-Kotera equations.

in this work, we consider each normal alkane as a hypothetical mixtureof methyland methylene groups, in which the interaction potential of each pair is assumed to be the average effective pair potential. then, the lir equation of state (eos) is extended for such a hypothetical mixture. also, three basic compounds, namely, propane, n-butane and cyclohexane, are used to obtain the contribution of...