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Sayed-Some separation axioms in soft ideal topological spaces

Research Abstract

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.

Research Authors
F. H. Khedr, O. R. Sayed and S. R. Mohamed
Research Department
Research Journal
Annals of Communications in Mathematics
Research Member
Research Pages
1-17
Research Publisher
Techno Sky Publications- An Academic Publisher
Research Vol
5 (1)
Research Website
© http://www.technoskypub.com
Research Year
2022

Fuzzification of strongly compact and locally strongly compact spaces

Research Abstract

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.

Research Authors
O. R. Sayed and Adem Kilicman
Research Department
Research Journal
Proyecciones Journal of Mathematics
Research Member
Research Pages
45-82
Research Publisher
Universidad Cat´olica del Norte Antofagasta - Chile
Research Vol
41 (1)
Research Year
2022

Concave (L, M)-fuzzy interior operators and L-fuzzy hull operators

Research Abstract

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.

Research Authors
Hu Zhao, Xia Hu, O. R. Sayed, E. El-Sanousy and Y.H. Ragheb Sayed
Research Department
Research Journal
Computational and Applied Mathematics
Research Member
Research Pages
1-17
Research Publisher
https://doi.org/10.1007/springer_crossmark_policy
Research Rank
Q1
Research Vol
40:301
Research Website
https://doi.org/10.1007/s40314-021-01690-5
Research Year
2021

Some properties and continuity of transitive binary relational sets

Research Abstract

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.

Research Authors
O. R. Sayed, S. A. Abd El-Baki and N. H. Sayed
Research Department
Research Journal
Asia Mathematika
Research Member
Research Pages
49 - 59
Research Publisher
@ Asia Mathematika, DOI: 10.5281/zenodo.5253512
Research Vol
5 (2)
Research Website
www.asiamath.org
Research Year
2021

Sayed-Some soft sets in soft ideal topological spaces

Research Abstract

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.

Research Authors
F. H. Khedr, S. R. Mohamed and O. R. Sayed
Research Department
Research Journal
The Aligarh Bulletin of Mathematics
Research Member
Research Pages
117-134
Research Publisher
Copyright © Department of Mathematics-Aligarh Muslim University, Aligarh-202002, India
Research Vol
41 (2)
Research Year
2022

Structure and magnetic properties of Cd(1−?)Co?Fe2O4 stoichiometric nanoferrite system

Research Authors
Dalia Hamad, Nasser Afify, Mohamed Omer, Ghada Abbady
Research Date
Research Department
Research Journal
Ceramics International
Research Pages
13924–13932
Research Vol
49(2023)
Research Year
2022

Structural, optical, photoluminescence and magnetic investigation of doped and Co‑doped ZnO nanoparticles

Research Authors
A. Sedky · N. Afify · Abdullah Almohammedi · E. M. M. Ibrahim · Atif Mossad Ali
Research Date
Research Department
Research Journal
Optical and Quantum Electronics
Research Pages
456
Research Vol
55
Research Year
2023

Annealing temperature effect on structural, mechanical, and magnetic properties of Cd0.40M0.60ZnO2 (M = Mn, Ni) nanocomposites

Research Authors
A Sedky , N Afify , Mohamed Omer , M.A. Sayed , Atif Mossad Ali , Abdullah Almohammedi
Research Date
Research Department
Research Vol
309
Research Year
2023

Response to oxidative stress generation in Rhodotorula glutinis and Candida tropicalis by thallium dithiocarbamate complexes

Research Abstract

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.

Research Authors
Ghada Abd‐Elmonsef Mahmoud
Research Date
Research Journal
Elsevier Inorganic Chemistry Communications
Research Member
Research Pages
111283
Research Publisher
َ@ ELSIEVER
Research Rank
International
Research Vol
156
Research Website
https://www.sciencedirect.com/science/article/pii/S138770032300895X
Research Year
2023
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