In this paper we investigated some new properties of π-Armendariz rings and studied the relationships between π-Armendariz rings and central Armendariz rings, nil-Armendariz rings, semicommutative rings, skew Armendariz rings, α-compatible rings and others. We proved that if R is a central Armendariz, then R is π-Armendariz ring. Also we explained how skew Armendariz rings can be ?-Armendariz, for that we proved that if R is a skew Armendariz π-compatible ring, then R is π-Armendariz. Examples are given to illustrate the relations between concepts.

In this paper, we introduce a new concept named St-polyform modules, and show that the class of St-polyform modules is contained properly in the well-known classes; polyform, strongly essentially quasi-Dedekind and ?-nonsingular modules. Various properties of such modules are obtained. Another characterization of St-polyform module is given. An existence of St-polyform submodules in certain class of modules is considered. The relationships of St-polyform with some related concepts are investigated. Furthermore, we introduce other new classes which are; St-semisimple and ?-non St-singular modules, and we verify that the class of St-polyform modules lies between them.

The research aims to identify the level of balance in the architectural thought influenced by the rational type human consciousness, the materialistic based on the Empirical type, moral based on human experience as source of knowledge.

This was reflected in architecture in the specialized thought that the mind is the source of knowledge which explains the phenomena of life. The rational approach based on objectivity and methodology in (Form Production), the other approach is based on subjectivity in form production (Form Inspiration).

The research problem is that there is imbalance in the relationship between the rational side and the human experience in architecture, which led into imbalance between theo

The metallicity [Fe/H] for several stars accompanied by Extra-solar planets were calculated and plotted as a function of stars mass (M*). Results showed that masses of Extra-solar planets stars are well correlated with their metallicity .This relation could be explained by the equation: Y=-0.0045x + 0.065. The metallicity limit is found to be in the range of (0.18 to 0.3), relative to the mass limit in the range of (0.76 to 1.44) MSun.
This criteria is a good tool that can be used by observers who are aiming for detecting Extra-solar planets

Man has a great role in the development of society in all fields, and therefore the human thought played a great role in its continuous pursuit and insight into the social classes that differ in their privileges, which makes the members of society not reconcile because of that disparity that is not based on human principles, so one class exploits another, and this is what stopped me Rather, it prompted me to choose the topic (class and its impact on society) in order to show the impact of classes on each other negatively and positively, so I work to avoid the first with the recommendations I put forward and offer guidance, and strengthen the second, and after this topic of necessity in a place because of the imbalance and promise of appr

 Reduction represents a form of artistic abstraction to express things with formal symbols that suggest the content of the idea, as the beauty of the design artwork cannot be unique in the form only, but in revealing its meaning as well. He resorts to shorthand to express the content of his idea related to design necessities and needs to achieve a specific function whose role is crystallized through the form that follows the function. The importance of the research was also represented in: Benefiting workers and scholars in the field of design with regard to shorthand and implicit in graphic design. The aim of the research: to identify the relationship between implicit meaning and reduced forms in graphic design. And the aesthetic of fo

We dealt with the nature of the points under the influence of periodic function chaotic functions associated functions chaotic and sufficient conditions to be a very chaotic functions Palace

It is not often  easy to identify a certain group of words as a lexical bundle, since the same set of words can be, in different situations, recognized as idiom,  a collocation, a lexical phrase or a lexical bundle. That is, there are many cases where the overlap among the four types is plausible. Thus, it is important to extract the most identifiable and distinguishable characteristics with which a certain group of words, under certain conditions, can be recognized as a lexical bundle, and this is the task of this paper.

Hedging is a linguistic phenomenon used to convey interpersonal messages in spoken interaction. It is a communicative strategy which enables speakers to soften the force of utterances or moderate the assertive force of  utterances. It is resulted from different features such as uncertainty, doubt, tentativeness, ambiguity, neutrality, mitigation, and subjectivity. Hedging is used widely in  TV debates to make utterances more acceptable to the interlocutors. Hedges are expressions used to communicate the speaker's  weak commitment to information conveyed. The utterances in debates are often hedged because in an unhedged form  might sound threatening to the addressees, and, therefore, be likely to be rejected.

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