Approximations of Maximal and Principal Ideal

Journal Title: AlQalam Journal of Medical and Applied Sciences - Year 2021, Vol 4, Issue 1

Abstract

In this paper, we will be delving deeper into the connection between the rough theory and the ring theory precisely in the principle and maximal ideal. The rough set theory has shown by Pawlak as good formal tool for modeling and processing incomplete information in information system. The rough theory is based on two concepts the upper approximation of a given set is the union of all the equivalence classes, which are subsets of the set, and the lower approximation is the union of all the equivalence classes, which are intersection with set non-empty. Many researchers develop this theory and use it in many areas. Here, we will apply this theorem in the one of the most important branches of mathematics that is ring theory. We will try to find the rough principal and maximal ideal as an extension of the notion of a principal maximal ideal respectively in ring theory. In addition, we study the properties of the upper and lower approximation of a principal maximal ideal. However, some researchers use the rough theory in the group and ring theory. Our work, is Shaw there are rough maximal and principle ideal as an extension of the maximal and principle ideal respectively. Our result will introduce the rough maximal ideal as an extended notion of a classic maximal ideal and we study some properties of the lower and the upper approximations a maximal ideal.

Authors and Affiliations

Faraj Abdunanbi

Keywords

Related Articles

Effect of Mobile Phone Radiation on Reproductive System and Behavior Using Female Albino Mice

Objectives: To investigate histopathological effect on reproductive system and the behavioral effect in female albino mice due to exposure to mobile phone radiation. Methods: Twelve female albino mice were divided into t...

Barriers in Infection Control Practice against COVID-19: A Survey of Healthcare Workers in Benghazi Medical Centre

Background and objective. COVID-19 pandemic represents a public health emergency over the world. The only way to fight this novel virus is by following the standard prevention precautions. Healthcare workers in Libya fac...

Hepatoprotective Effect of Ginger Induced Experimentally by Dimethoate And Liver Injury in Adult Male Rabbits

Background: Dimethoate (DM) is a widely used organophosphate insecticide and acaridae. Ginger extracts have shown a wide array of beneficial role in the regulation of regular liver functions and the treatment of liver he...

High Flow Nasal Cannula Oxygen Therapy in Children; A Review

High flow nasal cannula (HFNC) oxygen therapy is a non-invasive respiratory support consisting in the administration of heated, humidified and blended air/oxygen delivered via nasal cannula. The inspired oxygen concentra...

A Study of the Islamic Strategies for Prevention and Management of Pandemic Diseases (COVID-19)

Islam is the religion of all ages. It is adaptive, assimilative and accommodating religion that provides its adherents an unparalleled blueprint to lead an exemplary life. It guides its followers about every aspect of li...

Download PDF file
  • EP ID EP690875
  • DOI https://doi.org/10.5281/zenodo.4266815
  • Views 188
  • Downloads 0

How To Cite

Faraj Abdunanbi (2021). Approximations of Maximal and Principal Ideal. AlQalam Journal of Medical and Applied Sciences, 4(1), -. https://europub.co.uk/articles/-A-690875