The experiment was conducted in twodifferentsplaces, one of this experiment in the field was not under salt stress and the other experiment field was under salt stress.Those experiments were conducted in college of AgricultureDiyalaUniversity atautmyseason (2015 - 2016)to study the salt stress by usingseeds soaking with Hydrogen Peroxide and foliar application in different concentrations ofAbscisic acid.The experiment statistical design as RCBD was with three replicates.Soaking the seeds withHydrogen Peroxidetreatments 0 , 10 , 15 , 20 mmol.L-1. Three Abscisic acid levels0 , 15 , 30 mg.L1.α -Tocopherol, Catalase Enzyme, Membrane Stability Index,proline content, leaves area andpercentage of Electrolyte Leakage of Wheat, were measured. Results drawn from these were as follows: The α -Tocopherol concentrations, Catalase Enzyme,Proline content and percentage of Electrolyte Leakageincrease withsalt stress for soil,comparing with soil not under salt stress. The results showed that fourth level of Hydrogen Peroxide Soaking(20)superior on the levels (0)of α-Tocopherol concentrations, Catalase Enzyme,Membrane Stability Index, proline acid concentration and leaves areaincreased in values(78.88%, 135.54%, 17.47%, 34.04% ,16.36%) respectively with soil under Salt Stress.The results show increase in α-Tocopherol concentrations, Catalase Enzyme and percentageof Electrolyte Leakagewith low amount of Abscisic acid sprayingABA0(0 mg.L¹)comparing with the ABA1(15 mg.L-¹)and ABA2(30 mg.L-¹),but the treatment of spraying abscisic acid outperformedsignificantly increasedin the Membrane Stability Index anproline acid concentrationin leaveswith increase at the level ofABA2(30 mg. L-1)compareing with the other levels ofin the soil under salt stress. Theα-Tocopherol concentrations and Catalase Enzyme wereincreasedsignificantlyby interaction between(20mmol.L-1H2O2 +0 mg ABA. L1) comparing with the other levels in the soil that was under salt stress. . The Catalase Enzyme increase in the level(20 mmol.L-1H2O2 + 0 mg ABA .L-1) in the soil that was not under salt stress.Interference between (20 mmol.L-1H2O2+30mgABA.L-1) showedinsignificant effect on the Membrane Stability Indexandproline acid concentrationsin leavesat the soil that was under salt tension and proline acid concentrationsat leaves in the soil which was not under salt stress.Also most of characters in plant were significantly influenced by Hydrogen Peroxide under salt stress.
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.
Introduction: Although soap industry is known from hundreds of years, the development accompanied with this industry was little. The development implied the mechanical equipment and the additive materials necessary to produce soap with the best specifications of shape, physical and chemical properties. Objectives: This research studies the use of vacuum reactive distillation VRD technique for soap production. Methods: Olein and Palmitin in the ratio of 3 to 1 were mixed in a flask with NaOH solution in stoichiometric amount under different vacuum pressures from -0.35 to -0.5 bar. Total conversion was reached by using the VRD technique. The soap produced by the VRD method was compared with soap prepared by the reaction - only method which
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The concept of a 2-Absorbing submodule is considered as an essential feature in the field of module theory and has many generalizations. This articale discusses the concept of the Extend Nearly Pseudo Quasi-2-Absorbing submodules and their relationship to the 2-Absorbing submodule, Quasi-2-Absorbing submodule, Nearly-2-Absorbing submodule, Pseudo-2-Absorbing submodule, and the rest of the other concepts previously studied. The relationship between them has been studied, explaining that the opposite is not true and that under certain conditions the opposite becomes true. This article aims to study this concept and gives the most important propositions, characterizations, remarks, examples, lemmas, and observations related to it. In the en
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Throughout this paper R represents a commutative ring with identity and all R-modules M are unitary left R-modules. In this work we introduce the notion of S-maximal submodules as a generalization of the class of maximal submodules, where a proper submodule N of an R-module M is called S-maximal, if whenever W is a semi essential submodule of M with N ? W ? M, implies that W = M. Various properties of an S-maximal submodule are considered, and we investigate some relationships between S-maximal submodules and some others related concepts such as almost maximal submodules and semimaximal submodules. Also, we study the behavior of S-maximal submodules in the class of multiplication modules. Farther more we give S-Jacobson radical of ri
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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 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
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Coronavirus disease (COVID-19), which is caused by SARS-CoV-2, has been announced as a global pandemic by the World Health Organization (WHO), which results in the collapsing of the healthcare systems in several countries around the globe. Machine learning (ML) methods are one of the most utilized approaches in artificial intelligence (AI) to classify COVID-19 images. However, there are many machine-learning methods used to classify COVID-19. The question is: which machine learning method is best over multi-criteria evaluation? Therefore, this research presents benchmarking of COVID-19 machine learning methods, which is recognized as a multi-criteria decision-making (MCDM) problem. In the recent century, the trend of developing
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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.
This paper is concerned with introducing and studying the o-space by using out degree system (resp. i-space by using in degree system) which are the core concept in this paper. In addition, the m-lower approximations, the m-upper approximations and ospace and i-space. Furthermore, we introduce near supraopen (near supraclosed) d. g.'s. Finally, the supra-lower approximation, supraupper approximation, supra-accuracy are defined and some of its properties are investigated.
Throughout this paper R represents a commutative ring with identity and all R-modules M are unitary left R-modules. In this work we introduce the notion of S-maximal submodules as a generalization of the class of maximal submodules, where a proper submodule N of an R-module M is called S-maximal, if whenever W is a semi essential submodule of M with N ⊊ W ⊆ M, implies that W = M. Various properties of an S-maximal submodule are considered, and we investigate some relationships between S-maximal submodules and some others related concepts such as almost maximal submodules and semimaximal submodules. Also, we study the behavior of S-maximal submodules in the class of multiplication modules. Farther more we give S-Jacobson radical of rings
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