in this paper we investigate decompositions of submodules in modules over a proufer domain into intersections of quasi-primary and classical quasi-primary submodules. in particular, existence and uniqueness of quasi-primary decompositions in modules over a proufer domain of finite character are proved. proufer domain; primary submodule; quasi-primary submodule; classical quasi-primary; decomposi...

in this paper we introduce the notions of uniformly quasi-primary ideals and uniformly classical quasi-primary submodules that generalize the concepts of uniformly primary ideals and uniformly classical primary submodules; respectively. several characterizations of classical quasi-primary and uniformly classical quasi-primary submodules are given. then we investigate for a ring $r$, when any fi...

recognizing the advantages of primary care as a means of improving the entire health system, this text comments on reforms of publicly funded primary health centers, and the rapid development of private forprofit providers in sweden. many goals and expectations are connected to such reforms, which equally require critical analyses of scarce resources, professional trust/motivation and business ...

primary colorectal lymphoma (pcl) is a rare condition that accounts for a small percentage of all gastrointestinal (gi) malignancies. there are several reports in the literature regarding the most common features of pcl. however, primary lymphoma in the rectosigmoid junction has been rarely reported. our case was a 67-year-old male who presented with non-specific symptoms of bowel obstruction w...

Let R be a commutative ring and M be an R-module. We say that M is fully primary, if every proper submodule of M is primary. In this paper, we state some characterizations of fully primary modules. We also give some characterizations of rings over which every module is fully primary, and of those rings over which there exists a faithful fully primary module. Furthermore, we will introduce some ...

‎‎Let $R$ be a commutative ring with identity and let $M$ be an $R$-module‎. ‎We define the primary spectrum of $M$‎, ‎denoted by $mathcal{PS}(M)$‎, ‎to be the set of all primary submodules $Q$ of $M$ such that $(operatorname{rad}Q:M)=sqrt{(Q:M)}$‎. ‎In this paper‎, ‎we topologize $mathcal{PS}(M)$ with a topology having the Zariski topology on the prime spectrum $operatorname{Spec}(M)$ as a sub...

Primary-like and weakly primary-like submodules are two new generalizations of primary ideals from rings to modules. In fact, the class of primary-like submodules of a module lie between primary submodules and weakly primary-like submodules properly.  In this note, we show that these three classes coincide when their elements are submodules of a multiplication module and satisfy the primeful pr...

In this paper we introduce the notions of uniformly quasi-primary ideals and uniformly classical quasi-primary submodules that generalize the concepts of uniformly primary ideals and uniformly classical primary submodules; respectively. Several characterizations of classical quasi-primary and uniformly classical quasi-primary submodules are given. Then we investigate for a ring $R$, when any fi...

Background: Primary antibody deficiency, the most common primary immunodeficiency disorder, represents a heterogeneous spectrum of conditions caused by a defect in any critical stage of B cell development and is characterized by impaired production of normal amounts of antigen-specific antibodies. Objective: This retrospective study aimed at description and analysis of demographic, clinical, im...

primary amyloidosis is a rare disrder wihich is diagnosed by extracellular deposition of proteinaceous material in different organs.in this report,a case of this disease with prominent hepatic involvement is presented.the case is a 63 years old male refered with abdominal enlargement,weight loss,generalized pruritus,anorexia and vague abdominal pain started from six months ago.on physical exami...