Throughout this paper R represents commutative ring with identity and M is a unitary left R-module. The purpose of this paper is to investigate some new results (up to our knowledge) on the concept of weak essential submodules which introduced by Muna A. Ahmed, where a submodule N of an R-module M is called weak essential, if N ? P ? (0) for each nonzero semiprime submodule P of M. In this paper we rewrite this definition in another formula. Some new definitions are introduced and various properties of weak essential submodules are considered.

    The definition of semi-preopen sets were first introduced by "Andrijevic" as were is defined by :Let (X ,  ) be a topological space, and let  A ⊆,    then Ais called semi-preopen set if ⊆∘ .        In this paper, we study the properties of semi-preopen sets but by another  definition which is equivalent to the first definition and we also study the relationships among it and (open, α-open, preopen and semi-p-open )sets.

A class of hyperrings known as divisible hyperrings will be studied in this paper. It will be presented as each element in this hyperring is a divisible element. Also shows the relationship between the Jacobsen Radical, and the set of invertible elements and gets some results, and linked these results with the divisible hyperring. After going through the concept of divisible hypermodule that presented 2017, later in 2022, the concept of the divisible hyperring will be related to the concept of division hyperring, where each division hyperring is divisible and the converse is achieved under conditions that will be explained in the theorem 3.14. At the end of this paper, it will be clear that the goal of this paper is to study the concept

      The definition of semi-preopen sets were first introduced by "Andrijevic" as were is defined by :Let (X ,  ) be a topological space, and let  A ⊆,    then A is called semi-preopen set if ⊆∘ .        In this paper, we study the properties of semi-preopen sets but by another  definition which is equivalent to the first definition and we also study the relationships among it and (open, α-open, preopen and semi-p-open )sets.

The structure of this paper includes an introduction to the definition of the nano topological space, which was defined by M. L. Thivagar, who defined the lower approximation of G and the upper approximation of G, as well as defined the boundary region of G and some other important definitions that were mentioned in this paper with giving some theories on this subject. Some examples of defining nano perfect mappings are presented along with some basic theories. Also, some basic definitions were presented that form the focus of this paper, including the definition of nano  pseudometrizable space, the definition of nano compactly generated space, and the definition of completely nano para-compact. In this paper, we presented images of nan

Uranium concentration and the annual committed effective dose in some selected medicinal plants commonly used in Iraq have been determined using fission tracks technique etch in twelve medical plants samples using CR-39 track detector. The results show that the uranium concentration ranged from 0.044±0.021 ppm in Thyme sample to 0.2±0.03 ppm in Black Pepper and Cardamom samples with an average value of 0.14 ±0.0 4ppm. The average annual effective dose due to ingestion of uranium radionuclide was 13.77x10 -5 mSv/y, which is below the world average annual committed effective dose of 0.3 mSv/y for ingestion of natural radionuclides.

The study aims to identify the acceptability of drinking water for human consumption depend on Iraqi specification and WHO standards. Samples collected monthly for each station from March to December2014. The samples collected from six stations distributed in Baghdad City, the first two stations located in al-Kadmyai area , the 3rd and 4th located in AL- Doora while the last two stations located in Al-Amryai area. The study measured physical, chemical and bacteriological factors. The measured parameters were ranged each for pH 6.63-7, turbidity 0.4-1.3NTU,TDS394.2-960mg/l,total hardness 259.1-578while Ca and Mg were 43-134,20.1-72 mg /l respectively. Other chemical parameters like chloride ranged from 56.8-184 mg/l and heavy metals range

The purpose of this paper is to study the instability of the zero solution of some type of nonlinear delay differential equations of fourth order by using the Lyapunov-Krasovskii functional approach; we obtain some conditions of instability of solution of such equation.

The purpose of this paper is to study the instability of the zero solution of some type of nonlinear delay differential equations of fifth order with delay by using the Lyapunov-Krasovskii functional approach, we obtain some conditions of instability of solution of such equation.

The reaction of L-ascorbic acid with the chloroacetic acid in presence of potassium hydroxide has been investigated.             The new product L (2,3,5,6-O,O,O,O-tetraacetic acid L-ascorbic acid) was isolated and characterized by elemental analysis(C.H),  1H, 13C-NMR. Mass spectrum and Fourier transform infrared (FT-IR). The reaction of the ligand (L) (where L = H4L), M+2 = (Co, Ni, Cu, Cd, Pb, Hg, Ca, Mg) has been investigated and was isolated and characterized by FT-IR, UV- visible, conductivity, Atomic absorption and molar ratio (Cd, Co) complexes.  Spectroscopic evidence showed that the binding of the M(II) ions are throughy the O-1 Lacton, O-2-OCH2COOH and O-6-O