Let $G$ be a group with identity $e$. Let $R$ be a $G$-graded commutative ring with a non-zero identity and $M$ be a graded $R$-module. In this article, we introduce the concept of graded almost semiprime submodules. Also, we investigate some basic properties of graded almost semiprime and graded weakly semiprime submodules and give some characterizations of them.

purpose: to evaluate exposure rate following wrapping hydroxyapatite implant in mersilene mesh and donor sclera. methods: in a prospective comparative interventional case-series 60 consecutive patients underwent primary hydroxyapatite orbital implant wrapped in mersilene mesh or donor sclera. results: thirty patients (21 male and 10 female) underwent implantation with mersilene mesh and 30 pati...

Lokesh Singh1 1GD rungta college of Engineering & Technology, India [email protected] ABSTRACT A heterogeneous object is referred to a solid object made of different constituent materials. The object is made up of finite collection of regions having set of prescribed material classes of continuously or discontinuously varying material properties. These properties have an abrupt or gradual ch...

In this work, we extend the recently proposed adaptive phase field method to model fracture in orthotropic functionally graded materials (FGMs). A recovery type error indicator combined with quadtree decomposition is employed for mesh refinement. The approach capable of capturing process a localized refinement that provides notable gains computational efficiency. implementation validated agains...

We propose an operator preconditioner for general elliptic pseudodifferential equations in a domain $$\varOmega $$ , where is either $${\mathbb {R}}^n$$ or Riemannian manifold. For linear systems of arising from low-order Galerkin discretizations, we obtain condition numbers that are independent the mesh size and choice bases test trial functions. The basic ingredient classical formula by Boggi...

  Purpose: Mesh technique is the standard for inguinal hernia repair because of less recurrence,   but it is inferior or equal to sutured technique in case of other post-operative complications   such as chronic pain. This clinical trial set out to compare these two techniques.   Materials and Methods: A total number of 322 cases of unilateral inguinal hernia in participants   older than 18 yea...

in this paper, we consider locally graded groups in which every non-permutable subgroup is soluble of bounded derived length.