We introduce a quantale-valued generalization of approach spaces in terms of quantale-valued gauges. The resulting category is shown to be topological and to possess an initially dense object. Moreover we show that the category of quantale-valued approach spaces defined recently in terms of quantale-valued closures is a coreflective subcategory of our category and, for certain choices of the qu...

In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. Then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. So, we can easily apply the results of topological vector spaces...

The neuropharmacological effect of petroleum ether and ethyl acetate soluble fractions of ethanol extract of the rhizome of Drynaria quercifolia J. Smith were studied in mice by intraperitoneal administration. The tests used were determination of effect on duration of diazepam-induced sleep, determination of effect on nikethamide-induced toxicity, light-dark test and force swimming test. The du...

The present paper has been an attempt to investigate the general fuzzy automata on the basis of complete residuated lattice-valued ($L$-GFAs). The study has been chiefly inspired from the work by Mockor cite{15, 16, 17}. Regarding this, the categorical issue of $L$-GFAs has been studied in more details. The main issues addressed in this research include: (1) investigating the relationship betwe...

Background: Due to multiple drug resistance against antimicrobial drugs for treatment of infectious disease, investigations to discovering new antibacterial compounds from natural sources have been designated. Objective: According to antimicrobial effects of some Capparis species, this study was carried out to evaluate the antimicrobial activity of the extract and fractions of Capparis cart...

A water-soluble cationic porphyrin, 5,10,15,20-Tetra(N-methylpyridinium-4-yl)-21H,23H-porphyrin has been shown to intercalate selectively into the A3-G4 gap of C-quadruplexed DNA d(TTAGGG)4.

Determination and recognition of relative distribution of chemical forms of each element and their relationship with physical, chemical and soil clay minerals can help researchers to manage soil fertility better. This research attempted to recognize chemical fractions of zinc (Zn) and copper (Cu) in some surface and subsurface soil samples of Kohgiluyeh and Boyer-Ahmad province and their relati...

In this work, we describe an adjunction between the comma category of Set-based monads under the V -powerset monad and the category of associative lax extensions of Set-based monads to the category of V -relations. In the process, we give a general construction of the Kleisli extension of a monad to the category of V-relations.

in the present study ethanol and water extracts of 15 seaweeds, dictyota dichotoma var. velutricata, dictyota indica, iyengaria stellata, padina pavonia, sargassum swartzii, sargassum variegatum, stoechospermum marginatum, stokeyia indica, jolyna laminarioides, caulerpa taxifolia, halimeda tuna, ulva fasciata, ulva lactuca, solieria robusta, and melanothamnus afaqhusainii, were evaluated for th...