Let be a -module, T is a commutative ring with identity and be a proper submodule of . In this paper we introduce the concepts of 2-visible submodules and fully 2-visible modules as a generalizations of visible submodules and fully visible modules resp., where is said to be 2-visible whenever for every nonzero ideal of and A -module is called fully 2-visible if for any proper submodule of it is 2-visible.Study some of the properties of these concepts also discuss the relationship 2-visible submodules and fully 2-visible modules with 2-pure submoules and other related submodules and modules resp. are given.
The world is witnessing a marked and rapid change in the use of the Internet in all areas of life and this is a natural development. Because the existence of the web has swelled and increased and became a lot in various magazines depend on it and greatly. Our topic today is about Internet applications in libraries and information centers. How has library performance developed in general? What are the challenges facing librarians? What is the benefit of the students and researchers? Thanks to the presence of the Internet there has been a great revolution in the performance of libraries and traditional processes and developed many of them, for example, reference services, document delivery, resource sharing, and others. Librarians and staff in information centers face significant challenges in developing their Web site. And this returned to all those who come to the library benefit, where there is a schedule of dates and official holidays, planning of buildings within the library, information center for easy access to the destination and organization of different memberships in different categories, circulation and acquisition, and easy to announce the activities of various periodicals and seminars and know all the details and special rules. This research tries to introduce the impact of the technology on the libraries in terms of librarian and library visitors and the resources in the libraries.
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