Subscribe to the gold package and get unlimited access to Shamra Academy
Register a new userStudy About Ring of Linear Operators of Vector Space
دراسة في حلقة المؤثرات الخطية لفضاء متجهي
1179
0 47
0
(
0
)
Created by
Shamra Editor
Ask ChatGPT about the research
تعد حلقة المؤثرات الخطية لفضاء متجهي، و لاتزال، ملهماً لعدد كبير من الرياضين عموماً و الجبريين خصوصاً في إدخال العديد من المفاهيم الجديدة في الجبر و بشكل خاص في نظرية الحلقات. و في هذا المجال أثبت I Kaplanskyالمبرهنة الآتية: "حلقة المؤثرات الخطية لفضاء متجهي منتهي البعد هي حلقة منتظمة". الهدف من هذا البحث يأتي في سياق دراسة حلقة المؤثرات الخطية لفضاء متجهي من وجهة نظر جبرية مجردة.
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.
References used
Anderson F. W. & Fuller K. R: " Rings and Categories of Modules ", New York. Springer 1973
(Goodearl K.R: " Von Neumann Regular Rings ", Pitman London (1979
Kasch F: " Modules and Rings ", London Math. Soc. Mono. 1982
rate research
Read More
The aim of this paper is to discuss the necessary and sufficient conditions for the continuity of operator linear integral in Orlicz space on a compact set of functions realized with the terms of a lebegue measure of the Euclidean space ending dimens
ion and the use of the terms continuous measurement N-function definition continued N-function some theorems in Hilbert, Banach spaces. Then the research touched on the concept of the continued complementary N-function given, in order to discuss the terms of a continuing full for Integrative operator linear kernel which is studied, and to achieve qualities compact a functions set in W. Orlicz space and choose the best approximation for linear integrative operators. Finally a comparison is carried out between continuing full and weak convergence of the functional sequences in subspace of W. Orlicz space.
This paper presents a certain method to determine the range of varibility
of linear functionals defined in the Caratheodory Class i.e the class of
analytic functions in the unit disk ( z < 1 ) with a positive real part and
f(0)=1.
In this scientific paper we dealt with three different types of
homomorphisms between two given ideals in a ring with unity shown as
follows: ring homomorphism, R- module homomorphism and ideal
homomorphism, which were supported by several example
s.
Furthermore, we prove that the family of ideals in a ring R with ring, R -
module and ideal homomorphisms forms the category of ideals of the first,
second and third type, respectively. The next step was dedicated to support all
previous ideals by examples and functor between such categories.
Our aim of this paper is studying the problem on normal oscillations of system of capillary viscous fluids in vessel.
We prove results about the spectrum of the problem for rotating vessel and prove that the systems of root elements ( eigenelements
and associated elements ) form an Abel-Lidsky basis.
Also , we use some results from the theory of J-self adjoint operators in studying the spectrum of the problem for non-rotating vessel.
In this paper, we studied the concept of semi-potency of
endomorphism ring of modules. In addition to that, it has been
studied the endomorphism ring of semi injective ( projective)
modules and direct injective ( projective) modules.
أساس جاكبسون
الحلقات شبه الجامدة
Jacobson radical
Endomorphism rings
حلقة الإندومورفيزمات لمودول
المودولات نصف الإسقاطية ( الأفقية )
المودولات الأفقية ( الإسقاطية ) المباشرة
المودولات المنتظمة
Semi-potent rings
Semi injective ( projective) Modules
Regular modules
( Direct projective injective ( projective
المزيد..
Log in to be able to interact and post comments
comments
Fetching comments
Sign in to be able to follow your search criteria
