‎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 $R$‎.

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.