Let be a ring with identity. Recall that a submodule of a left -module is called strongly essential if for any nonzero subset of , there is such that , i.e., . This paper introduces a class of submodules called se-closed, where a submodule of is called se-closed if it has no proper strongly essential extensions inside . We show by an example that the intersection of two se-closed submodules may not be se-closed. We say that a module is have the se-Closed Intersection Property, briefly se-CIP, if the intersection of every two se-closed submodules of is again se-closed in . Several characterizations are introduced and studied for each of these concepts. We prove for submodules and of that a module has the se-CIP if and only if is strongly essential in implies is strongly essential in . Also, we verify that, a module has the se-CIP if and only if for each se-closed submodule of and for all submodule of , is se-closed in . Finally, some connections and examples are included about (se-CIP)-modules
Abstract
Research title: The legal ruling of advice.
This research deals with the topic of advice, as the research included the following:
Preamble: I explained in it the meaning of advice in the Qur’an and Sunnah, and that what is meant by it is a good performance of the duty, then explaining its importance, importing it, and the difference between advice and what is similar to it, from enjoining good, denial, reproach and reprimand, backbiting and the will.
The first topic: It dealt with the ruling on advice, whether it is recommended or disliked, or forbidden, because what is meant by it is to give advice to others may be an obligation in kind, or it may be desirable or dislike
... Show MoreIn the process of translating Qur’anic texts, there is an urgent need for interpretations of the Qur’anic text due to the presence of many incomprehensible Qur’anic verses or words because of our distance from the standard Arabic, language in which the Holy Qur’an was revealed, and the introduction of the foreign words into our language, in addition to the fact that many Qur’anic words are no longer used. All this prompted the need for the interpretation of the Qur'anic text, Therefore, it is necessary for the translator to resort to the books of interpretation if he intends to translate the Qur’an
The rate of electron transfer from N3 sensitized by dye to TiO2 semiconductor in variety solvent have been calculated as a function of reorientation energy effective free energy , volume of semiconductor , attenuation and lattice constant of semiconductor . A very strong dependence of the electron transfer rate constant on the reorientation and effective free energy .Results of calculation indicate that TiO2 is available to use with N3 dye .Our calculation results show that a good agreement with experimental result
Ground penetrating radar (GPR) technology is used to determine the extent to which this technique can detect with a high-frequency range from 10 MHz to 1000 MHz into the ground by a transmitting antenna and A graveyard was found beneath the depth of the three meters under Surface of the earth in the shrine of the Prophet Houd and Saleh in Al-Najaf Governorate surveyed by through 4 tracks. Ground Penetrating Radar (GPR) is a device that transmits short pulses of electromagnetic energy with pulse duration about 1 ns to 20 ns. applying the filter Time- Zero to the same profile at a depth (3m) , Two types of antennas were used in this study, with two different frequencies antennas (250, 500 )MHz Three tracks (23,25,2
... Show MoreIn the mist of developments in the course of scientific research in general and humanities in particular and the accompanying changes in the visions and policies inspired by the need for these sciences to follow the qualitative methods in dealing with many of the topics or problems that require for their solution to obtain qualitative information which can be provided by resorting to quantitative research. Therefore, a new trend has emerged in many public relations› researchers who believe that qualitative research methods should be used by establishing scientific foundations and methodological classification based on the use of these methods and determining the nature of the subjects applied in them to reach results that are character
... Show MoreThis paper examines the change in planning pattern In Lebanon, which relies on vehicles as a semi-single mode of transport, and directing it towards re-shaping the city and introducing concepts of "smooth or flexible" mobility in its schemes; the concept of a "compact city" with an infrastructure based on a flexible mobility culture. Taking into consideration environmental, economical and health risks of the existing model, the paper focuses on the four foundations of the concepts of "city based on culture flexible mobility, "and provides a SWOT analysis to encourage for a shift in the planning methodology.
The study sheds lights on the simple verbal formulas with its particular time suffixes as found in the Turgut Özakman’s play These Crazy Turks.
The introduction of the study sheds light on the life of the author and playwright, as well as traces the different types of the verbal formulas in Turkish language.
Oh Those Young is one of the most significant products of the Turkish literature of the young and Children where the literary messages of the playwright are addressed in a simple comic sarcastic style. Hence, the play, that has been studied and acted by many students and academics, drives its importance from this particular course of action.
... Show MoreIn this paper, we introduce and study the notion of the maximal ideal graph of a commutative ring with identity. Let R be a commutative ring with identity. The maximal ideal graph of R, denoted by MG(R), is the undirected graph with vertex set, the set of non-trivial ideals of R, where two vertices I1 and I2 are adjacent if I1 I2 and I1+I2 is a maximal ideal of R. We explore some of the properties and characterizations of the graph.
Is a day or series of days celebrated by Jews for religious or worldly important event in Jewish history as an occasion in Hebrew is called Eid יום טוב good day or good or חג תענית celebrate the festival or celebration. Most of the Jewish holidays are of a religious nature, and there is a worldly character with festivals such as the Festival of Lights חג החנוכה the holiday of Purim and the holidays, although a religious appearance, but she celebration in mundane aspects of the history and traditions of the Jewish occasions. Mass over the holidays when Jews are those mentioned in the Bible in my Leviticus and Deuteronomy. And some holidays established by rabbis in the vicinity of the anc
... Show More