In this paper, we investigate po-purity using fi nitely presented S-posets, and give some equivalent conditions under which an S-poset is absolutely po-Pure. We also introduce strongly fi nitely presented S-posets to characterize absolutely Pure S-posets. Similar to the acts, every finitely presented cyclic S-posets is isomorphic to a factor S-poset of a pomonoid S by a finitely generated right congruence on S. Finally, the relationships between regular injectivity and absolute po-purity are considered.

Dari Persian flourished in the Samanid period. This trend continued even after the downfall of the Samanid dynasty. In Iran, Turkey, India and Caucasus many scientific books were published in this language. The writings of Ebn-e Sina and Abu Reyhan Biruni in particular, played a great role in the development of the scientific terms in Dari Persian. Tajiki terms were also influenced by these developments. Generally, the development of Tajik may be divided into three periods: The first period started in the late 1910s. In this period, the new social, political, cultural and economic trends caused the need for coining new terms. The second period started early 1930s, and continued until late 1980s. As a result of the misguided policies of the first Committee for Coining Terms (1933), many serious mistakes happened. The third period starts in the late 1980s, covering the period of Glasnost and the independence of Tajikistan Republic. The purpose of this paper is to trace these developments in the national language of Tajikistan Republic.

‎Let $R$ be a commutative ring‎, ‎$M$ an $R$-module‎, ‎and $n\geq 1$ an integer‎. ‎In this paper‎, ‎we will introduce the concept of $n$-Pure submodules of $M$ as a generalization of Pure submodules and obtain some related results‎.‎We say that a submodule $N$ of $M$ is a \emph {$n$-Pure submodule of $M$} if $I_1I_2...I_nN=I_1N \cap I_2N\cap...I_nN\cap (I_1I_2...I_n)M$ for all proper ideals $I_1‎, ‎I_2,...I_n$ of $R$‎.

In this paper, production of high grade Pure graphite in Bonab Research Center is reported. Firstly, we will explain the various graphite production process and the results of crystal lattice analysis such as XRD, density and chemical analysis are proposed. The density of manufactured sample is 1.86 g/cm3 which make it suitable for many high sensitive technical applications. This is the highest grade purity that has been achieved in Iran. The process of manufacturing and the structural diagnosis of the prepared graphite are explained.

Let λ be an infinite regular cardinal and A a locally λ-presentable additive category. We show that any λ-Pure morphism (resp. λ-Pure quotient) in A creates a kernel-cokernel pair. This implies that the class of all λ-Pure kernel-cokernel pairs in A forms an exact structure. Additionally, we will describe λ-Pure kernel-cokernel pairs in A and will prove that any λ-directed diagram of objects in A induces a canonical λ-Pure kernel-cokernel pair.

Let à be the category of totally disconnected, locally compact abelian groups. In this paper, we determine the discrete or compact Pure injective groups in Ã. Also, we determine the compact Pure projective groups in Ã.

Herein we report a case of primary leiomyosarcoma of testis, which was believed to originate from normal testicular structures. It contained smooth muscle cells, blood vessels and contractile cells of the seminiferous tubules. No evidence of tumor spread was found. Treatment consisted of orchiectomy with high ligation of the spermatic cord. The patient received no adjuvant therapy and there was no evidence of tumor 30 months after the operation. Pertinent literature is reviewed and the differential diagnosis is discussed.