In this paper we introduce the notions of t-stable extending and strongly t-stable extending modules. We investigate properties and characterizations of each of these concepts. It is shown that a direct sum of t-stable extending modules is t-stable extending while with certain conditions a direct sum of strongly t-stable extending is strongly t-stable extending. Also, it is proved that under certain condition, a stable submodule of t-stable extending (strongly t-stable extending) inherits the property.
Let R be a commutative ring with identity and let M be a unitary left R-module. The purpose of this paper is to investigate some new results (up to our knowledge) on the concept of semi-essential submodules which introduced by Ali S. Mijbass and Nada K. Abdullah, and we make simple changes to the definition relate with the zero submodule, so we say that a submodule N of an R-module M is called semi-essential, if whenever N ∩ P = (0), then P = (0) for each prime submodule P of M. Various properties of semi-essential submodules are considered.
We studied the effect of Ca- doping on the properties of Bi-based superconductors by
adding differ ent amounts of CaO
to the Bi
2
Sr2La2-xCaxCu3O10+δ
compound. consequently, we
obtained three samples A,B and C with x=0.0, 0.4 and 0.8 respectively. The usual solid-state
reaction method has been applied under optimum conditions. The x-ray diffraction analy sis
showed that the samples A and B have tetragonal structures conversely the sample C has an
orthorhombic structure. In addition XRD analysis show that decreasing the c-axis lattice
constant and thus decreasing the ratio c/a for samples A,B and C resp ectively. The X-ray
florescence proved that the compositions of samples A,B and C with the ra
The concept of the Extend Nearly Pseudo Quasi-2-Absorbing submodules was recently introduced by Omar A. Abdullah and Haibat K. Mohammadali in 2022, where he studies this concept and it is relationship to previous generalizationsm especially 2-Absorbing submodule and Quasi-2-Absorbing submodule, in addition to studying the most important Propositions, charactarizations and Examples. Now in this research, which is considered a continuation of the definition that was presented earlier, which is the Extend Nearly Pseudo Quasi-2-Absorbing submodules, we have completed the study of this concept in multiplication modules. And the relationship between the Extend Nearly Pseudo Quasi-2-Absorbing submodule and Extend Nearly Pseudo Quasi-2-Abs
... Show MoreSeveral observations have showed the synergistic effect of nutrients elements and phytoestrogens on bone resorption elimination. Zn is one of the trace elements found to increase the stimulatory effect of phytoestrogens including genestein, coumestrol and daidzein on bone formation; however the synergistic modulation of Zn, genestein, coumestrol and daidzein on proinflammatory-producing T-cells and receptor activator of NFκB ligand (RANKL) expression that implicated in osteoclast formation is still open area to debate. This study found that Zn enhanced the inhibitory effect of genistein, daidzein and coumestrol on TNF-α expression; however the same effect was shown with daidzein on IL-1β expression while there is no furthe
... Show MoreLet R be a commutative ring with identity, and M be a left untial module. In this paper we introduce and study the concept w-closed submodules, that is stronger form of the concept of closed submodules, where asubmodule K of a module M is called w-closed in M, "if it has no proper weak essential extension in M", that is if there exists a submodule L of M with K is weak essential submodule of L then K=L. Some basic properties, examples of w-closed submodules are investigated, and some relationships between w-closed submodules and other related modules are studied. Furthermore, modules with chain condition on w-closed submodules are studied.
Let R be an associative ring with identity and let M be a unitary left R–module. As a generalization of small submodule , we introduce Jacobson–small submodule (briefly J–small submodule ) . We state the main properties of J–small submodules and supplying examples and remarks for this concept . Several properties of these submodules are given . Also we introduce Jacobson–hollow modules ( briefly J–hollow ) . We give a characterization of J–hollow modules and gives conditions under which the direct sum of J–hollow modules is J–hollow . We define J–supplemented modules and some types of modules that are related to J–supplemented modules and int
... Show MoreFifty of urine samples were collected from patients with urinary tract infection
(UTI). The samples were collected from AL- Yarmuk hospital in Baghdad. All of
the isolates were diagnosed using biochemical test and vitek. The result showed that
30 (60%) isolates identified as E.coli from 50 urine samples. The colicinogenic
isolates were determined using cup assay methods. The results showed that 10 out of
30 isolates (33.3%) were detect as colicin producers from 30 isolate identified as
E.coli depending on the clear zone that observed against the sensitive isolate.
Colicin was extracted from the efficient isolate. Colicin activity (320 U/ml) was
determined by well assay method. The protein concentration (520 μg /m
The current work is characterized by simplicity, accuracy and high sensitivity Dispersive liquid - Liquid Micro Extraction (DLLME). The method was developed to determine Telmesartan (TEL) and Irbesartan (IRB) in the standard and pharmaceutical composition. Telmesartan and Irbesartan are separated prior to treatment with Eriochrom black T as a reagent and formation ion pair reaction dye. The analytical results of DLLME method for linearity range (0.2- 6.0) mg /L for both drugs, molar absorptivity were (1.67 × 105- 5.6 × 105) L/ mole. cm, limit of detection were (0.0242and0.0238), Limit of quantification were (0.0821and0.0711), the Distribution coefficient were
... Show MoreIn this paper, we introduce and study the notation of approximaitly quasi-primary submodules of a unitary left -module over a commutative ring with identity. This concept is a generalization of prime and primary submodules, where a proper submodule of an -module is called an approximaitly quasi-primary (for short App-qp) submodule of , if , for , , implies that either or , for some . Many basic properties, examples and characterizations of this concept are introduced.
Trichomonas vaginalis is a unicellular flagellated protozoan that resides in female and male genital tract and considered the most prevalent sexually transmitted infectious parasite. The infection rate is relatively equivalent between male and female but trichomoniasis is usually asymptomatic in men. Primary triggering of host inflammatory response to this parasite is not fully understood and most studies address the local reaction of the parasite in female genital tract. In this study, two pro-inflammatory cytokines, IL-8 and IL-12, were investigated in the serum of infected women with Trichomonas vaginalis during acute and chronic stages of the disease. The results demonstrated that the level of IL-8 was significantly
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