Throughout this paper, we introduce the notion of weak essential F-submodules of F-modules as a generalization of  weak essential submodules. Also we study the homomorphic image and inverse image of weak essential F-submodules.

   In this paper, a new class of sets, namely - semi-regular closed sets is introduced and studied for topological spaces. This class properly contains the class of semi--closed sets and is property contained in the class of pre-semi-closed sets. Also, we introduce and study srcontinuity and sr-irresoleteness. We showed that sr-continuity falls strictly in between semi-- continuity and pre-semi-continuity.

This study sheds light on the syndromes (grammatical pairs) in the section of sympathy, especially the affection and sympathy according to the normative rule governed by the synthetic correlation of the elements of the Arabic sentence and their structural composition, which leads to a verbal presumption governing their association with each other (called).
One of the syndromes of the grammarians is that which is between the emotion and his income, so they follow their functional and structural conditions, and they have also noticed a phenomenon that leads to their incompatibility and prevents their direct contact through the occurrence of a separation between them resulting in their separation, which is called separation. Grammar).

Background: Patients on maintenance hemodialysis are at increased risk of infection with parentally transmitted viral agents. In recent years a high prevalence of hepatitis G virus infection among end stage renal diseases and chronic hemodialysis patients has been well documented.
Objectives: To assess the percentage and risk factors of HGV in hemodialysis patients, and to evaluate the clinical consequences of HGV in this population.
Patients and methods: Fifty (50) patients with chronic renal failure who underwent maintenance hemodialysis. Patients were currently attending hemodialysis department of Baghdad teaching hospital during the period of October 2011 to January 2012, compared to forty one (41) healthy blood donors who unde

Expanded use of antibiotics may increase the ability of pathogenic bacteria to develop antimicrobial resistance. Greater attention must be paid to applying more sustainable techniques for treating wastewater contaminated with antibiotics. Semiconductor photocatalytic processes have proven to be the most effective methods for the degradation of antibiotics. Thus, constructing durable and highly active photocatalytic hybrid materials for the photodegradation of antibiotic pollutants is challenging. Herein, FeTiO3/Fe-doped g-C3N4 (FTO/FCN) heterojunctions were designed with different FTO to FCN ratios by matching the energy level of semiconductors, thereby developing effective direct Z-type heterojunctions. The photodegradation behaviors of th

In this paper, we introduce and study new types of soft open sets and soft closed
sets in soft bitopological spaces (X,~ ,~ ,E) 1 2   , namely, (1,2)*-maximal soft open
sets, (1,2)*-maximal soft (1,2)*-pre-open sets, semi (1,2)*-maximal soft (1,2)*-preopen
sets, (1,2)*-maximal soft closed sets, (1,2)*-maximal soft (1,2)*-pre-closed
sets, (1,2)*-minimal soft open sets, (1,2)*-minimal soft (1,2)*-pre-open sets, (1,2)*-
minimal soft closed sets, (1,2)*-minimal soft (1,2)*-pre-closed sets, and semi (1,2)*-
minimal soft (1,2)*-pre-closed sets. Also, properties and the relation among these
concepts have been studied.

mucosal secretions as well as in secondary granules of polymorphonuclear leukocytes. Anti-Elastase antibodies, anti-Lactoferrin antibodies,anti-Cathapsin G antibodies and anti-Lysozyme antibodies, which belong to Perinuclear Anti-Neutrophil Cytoplasmic Antibodies(pANCA) have been described in several immunomediated diseases, including Rheumatoid Arthritis .
Objectives: Investigate the prevalence of anti-Elastase antibodies, anti-Lactoferrin antibodies,anti-Cathapsin G antibodies , anti- Lysozyme antibodies and rheumatoid factor in patients with rheumatoid arthritis in comparison to healthy control.
Patients &Methods: The study involved 40 Rheumatoid Arthritis patients who were referred to Immunolog

    The main objective of this work is to generalize the concept of  fuzzy algebra by introducing the notion of  fuzzy algebra. Characterization and examples of the proposed generalization are presented, as well as several different properties of  fuzzy algebra are proven. Furthermore, the relationship between fuzzy algebra and fuzzy algebra is studied, where it is shown that the fuzzy algebra is a generalization of fuzzy algebra too. In addition, the notion of restriction, as an important property in the study of measure theory, is studied as well. Many properties of restriction of a nonempty family of fuzzy subsets of fuzzy power set are investigated and it is shown that the restriction of fuzzy algebra is fuzzy algebra too.