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.

      In this work we discuss the concept of pure-maximal denoted by (Pr-maximal) submodules as a generalization to the type of R- maximal submodule, where a proper submodule  of an R-module  is called Pr- maximal if  ,for any submodule  of W is a pure submodule of W, We offer some properties of a Pr-maximal submodules, and we give Definition of the concept, near-maximal, a proper submodule  

 of an R-module  is named near (N-maximal) whensoever  is pure submodule of  such that  then K=.Al so we offer the concept Pr-module, An R-module W is named Pr-module, if every proper submodule of  is Pr-maximal. A ring  is named Pr-ring if whole proper ideal of  is a Pr-maximal ideal, we offer the concept pure local (Pr-loc

In this thesis, we introduce eight types of topologies on a finite digraphs and state the implication between these topologies. Also we studied some pawlak's concepts and generalization rough set theory, we introduce a new types for approximation rough digraphs depending on supra open digraphs. In addition, we present two various standpoints to define generalized membership relations, and state the implication between it, to classify the digraphs and help for measure exactness and roughness of digraphs. On the other hand, we define several kinds of fuzzy digraphs. We also introduce a topological space, which is induced by reflexive graph and tolerance graphs, such that the graph may be infinite. Furthermore, we offered some properties of th

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.

    Let R be a commutative ring with identity, and M be a left untial module. In this paper we introduce and study the concept w-closed submodules, that is stronger form of the concept of closed submodules, where asubmodule K of a module M is called w-closed in M, "if it has no proper weak essential extension in M", that is if there exists a submodule L of M with K is weak essential submodule of L then K=L. Some basic properties, examples of w-closed submodules are investigated, and some relationships between w-closed submodules and other related modules are studied. Furthermore, modules with chain condition on w-closed submodules are studied.   

Hypothyroidism is a frequent disorder in the general population, especially among women, is defined as adeficiency of thyroid activity that results from insufficient production or action of thyroid hormones leading to a totaldecrease of metabolic. Human leukocyte antigen is the most polymorphic genetic system in man. Genes of this regioninfluence susceptibility to certain diseases.Objectives: The purpose of the present study is to investigate the role of HLA-DRB1 genotyping in hypothyroidpatients with and without periodontitis. Sixty hypothyroid patients 30 of patients were with periodontitis and 30without periodontitis compare with 30 healthy subjects as control enrolled in this study. DNA was extracted fromblood samples, then HLA- genotyp

Adenosine deaminase (ADA) and lipid profile may be associated with some diseases. Parasitic diseases have also been reported to be associated with ADA and lipid profiles. This study aimed to evaluate ADA, lipid profile, and total protein among children infected with E.vermicularis. This research was carried out in Baghdad province from October 2021 to the end of March 2022. One hundred samples were collected from both sexes, ranging in age from (3-16) years. They all underwent examination for ADA, cholesterol, low-density lipoprotein (LDL), high-density lipoprotein (HDL), and total protein levels. Results showed no significant differences between E.vermicularis positive group and E.vermicularis negative group regarding ADA, LDL, and trig

  The present study was conducted on sixty five pregnant women that infected with    acute toxoplasmosis, serum samples were tested for detection specific anti-Toxoplasma gondii IgM using the rapid Toxo IgG/IgM Chromatographic immune assay test cassette and ELISA, and fifty healthy married women (not pregnant)  as  was considered as control group.       The level of serum IL-6, IL-8, IL-12, TNF-α, TGF-β1, IP-10, MIP-1, MIG and ICAM were significantly increased (P <0.005) in pregnant patients infected with acute toxoplasmosis, while serum level of MCP-1(14.46 ± 1.38pg/ml) was not significantly increased when compared to controls(11.25 ± 0.24pg/ml)  , these levels can be used as i