In this paper we determine the automorphism group of Cayley graph over the group where p ¹ q are prime numbers, by building the corresponding Schur ring which is generated by Q , and determine the automorphism group of this ring which is the automorphism group of this graph.
Our main goal in this research is to find the conditions which make
the a - small submodules are equivalent with small submodules and
so s- large submodules with large submodules, then find the relatio
-nship between the radical of module and the a - small submodules.
Aim of the Study: To evaluate the changes to the radiographic
bone density of the mental bone grafts applied in terms of ring
technique until 18 months post operatively and to evaluate the
effect of the adjacency of neighboring teeth.
The concept of Baer modules has grate effect in Theory
rings and modules, because the relation between this concepts with
hereditary and semi-hereditary rings and its study.
It's considered that، the ring of linear operator of vector
space and stilled as a source of many mathematicians in general and
algebreians particularly in introducing a new concepts in algebra
and ring theory. In this subject I. Kaplansky proved
the following
theorem: "The ring of linear operators of finite dimension vector
space is regular".
The object of this paper is studying of ring of linear operator
of vector space in abstract algebra point of view.
The purpose of this paper is studying some properties of clean,
semi-clean and quasi-clean rings, and study the relationship between
these rings. A ring is called clean if each of its element is the sum of
an idempotent and a unit, a ring is calle
d semi-clean if each of its
element is the sum of an idempotent and a regular, a ring is called
quasi-clean if each of its element is the sum of an idempotent and an
pi .
Grobner Bases(GB) are considered as one of the new
mathematical tools that motivate the researchers in all
mathematical domains.They use in solving many of mathematical
problems. A Grobner basis is a set of multivariate polynomials that
has desir
able algorithmic properties. Every set of polynomials can
be transformed into a Grobner basis.
Background& Objective:Vascular rings are unusual rare congenital anomalies .Its incidence is less than 0.2%.Most of these defects are discovered early in infancy or childhood .They result in complete or partial encirclement of the trachea and/or esop
hagus .Some vascular rings are associated with other congenital heart defects, others may be isolated deficits. We present here eleven cases which we have encountered since the mid of 2009.These cases were managed surgically with good results .Through this study, we aim at demonstrating how to treat these cases surgically and to clarify the best approach for each case.
Materials & Methods: A retrospective study at Damascus University Cardiac Surgery Hospital in the period between 2009 to 2010 was conducted.11 patients with diagnosed vascular rings underwent surgical repair.
Results: Ages ranged between 1.5 months to 5 years with almost equal sex distribution. Most complaints were respiratory. Vascular rings include double aortic arche, aberrant left Subclavian artery and aberrant right Subclavian artery .Associated defects were in54% of cases. No complications were noticed postoperatively or in the follow up period which extended between 7 and10 months' .Remarkable relief and symptoms release were achieved postoperatively.
Conclusion: Surgery affords excellent long-term resolution of symptoms. Early diagnosis and surgery are imperative to reduce the long-termsequels.
Let R be a ring with identity.
The ain is to study some fundamental properties of a ring R when R is regular
or semi-potent and the radical Jacobson of R when R is semi-potent.
New results were obtained including necessary and sufficient condition
s of R
to be regular or semi-potent. New substructures of R are studied and their
relationship with the total of R.
Ring, Rotor(O.E) and Air vortex spinning systems provide yarns with different structures and
properties. Each system has its limitations and advantages in terms of technical feasibility and economic
viabilit y Ne 30, 100%cotton yarns were produced
from the above systems and knitted in single jersey
machine .The Rotor Spun yarns found with frequent breakage during knitting.
