For dealing with uncertainties researchers introduced the concept of soft sets.
In this paper, a new class of soft sets called soft delta pre ideal open sets in soft ideal topological
space related to the notion of soft pre ideal regular pre ideal open sets is introduced.
Also, some new soft separation axioms based on the soft delta pre ideal open sets are
investigated.
In this paper, some characterizations of fuzzifying strong compactness
are given, including characterizations in terms of nets and presubbases.
Several characterizations of locally strong compactness in
the framework of fuzzifying topology are introduced and the mapping
theorems are obtained.
In this paper, the notions of (concave) (L, M)-fuzzy interior operators are introduced. It
is proved that the category of (L, M)-fuzzy concave spaces and the category of concave
(L, M)-fuzzy interior spaces is isomorphic, and there is aGalois correspondence between the
category of (L, M)-fuzzy concave spaces and the category of (L, M)-fuzzy interior spaces. In
addition, (L, M)-fuzzy hull operators proposed by Sayed et al. (Filomat 33(13):4151–4163,
2019) are further studied. Particularly, some results in Sayed et al. (2019) are corrected.
In the present paper, we introduce and study the continuity and some properties for a set equipped with a
transitive binary relation which we call t-set. Also, we give a characterization of a continuous directed complete posets via continuous t-sets. Furthermore, some properties of algebraic t-sets are considered. Our work is inspired by the slogan: "Order theory is the study of transitive relations" due to Abramsky and Jung [1]. The corresponding results of our results due to Nino-Salcedo [8], Heckmann [4] and Zhang [11] are generalized.
In this paper, two types of soft sets in soft ideal topological spaces
are introduced and some of their properties are discussed. The concept
of soft condense ideals is characterized by these collections of sets.
Also, some properties of soft extremally disconnected spaces are investigated.
Furthermore, decompositions of some types of soft continuous
mappings are given and some equivalent conditions concerning this
topic are established here.
Sodium diethyldithiocarbamate trihydrate (NaEt2dtc·3H2O) and sodium piperidine dithiocarbamate monohydrate (NaPidtc·H2O) reacted with thallium(I) carbonate to produce the complexes [Tl2(Et2dtc)2] C1 and [Tl2(Pidtc)2] C2. X-ray crystallographic analysis of the complexes elucidated their triclinic P-1 and monoclinic P21/n space groups, respectively, in addition to chelation via SS atoms from the uninegative ligands. Further, this analysis revealed the complexes' assembly as one-dimensional polymers of dimeric building blocks. The complexes (50 µg/ml) caused greater growth inhibitions in two pathogenic yeasts comparing with the ligand salts and cycloheximide. The ligand salts, respectively, inhibited R. glutinis with 15.02 and 15.14 % and C. tropicalis with 11.09 and 11.45 %, while cycloheximide, C1 and C2 offered inhibitions with 26.16, 38.9 and 46.4 % in R. glutinis and 13.4, 29.8 and 38.9 % in C. tropicalis, respectively. Further, the thallium complexes significantly affected the yeasts' soluble proteins {cycloheximide, C1 and C2 afforded 7.06 ± 0.05, 6.11 ± 0.08 and 5.43 ± 0.05 mg/g fresh weight (for R. glutinis) and 7.67 ± 0.15, 7.26 ± 0.06 and 6.025 ± 0.14 mg/g fresh weight (for C. tropicalis)} and total antioxidants {cycloheximide, C1 and C2 afforded 10.15 ± 0.21, 11.27 ± 0.16 and 14.97 ± 1.3 mg/g protein (for R. glutinis) and 19.4 ± 0.65, 16.0 ± 0.24 and 17.19 ± 0.55 mg/g protein (for C. tropicalis)} in addition to the catalase and peroxidase enzyme activities.