عرض تفاصيل البحث

ادناه جميع التفاصيل الخاصة بالبحث المطلوب عرضه. توفر هذه المنصة معلومات اساسية حول البحث, لمزيد من التفاصيل يرجى متابعة التصفح من خلال الضغط على الرابط الاصلي للبحث او رابط DOI.

عنوان البحث
Some Properties Of Strongly Principally Self-Injective Modules
عنوان المجلة
Journal Of Applied Sciences And Nanotechnology
ISSN-2788-6867
تفاصيل النشر
سنة النشر - 2022 / الفهرس الاصلي للمجلة - 2 : 2 (عدد الصفحات 9)
تصنيف البحث
Applied Mathematics - المجموعة العلمية
رابط DOI
#
رابط البحث
فتح في موقع المجلة الرسمي
البحث والاستدامة
الهدف 4 – التعليم الجيد   المزيد حول هذا الهدف
البحث والمجتمع
نعم , يدعم
الكلمات المفتاحية
Absolutely self-pure, Principally self-injective, Quasi injective, Strongly principally self-injective

اسم الباحثجهة الانتساببلد الباحث
Khalid Sumiea Munshid University of Sumer Iraq

The idea of generalizing quasi injective by employing a new term is introduced in this paper. The introduction of principally self-injective modules, which are principally self-injective modules. A number of characteristics and characterizations of such modules have been established. In addition, the idea of strongly mainly self-pure sub-modules was added, which is similar to strongly primarily self-injective sub-modules. Some characteristics of injective, quasi-injective, principally self-injective, principally injective, absolutely self-pure, absolutely pure, and finitely R-injective modules being lengthened to strongly principally self-injective modules. So, in the present work, some properties are added to the concept in a manner similar to the absolutely self-neatness. The fundamental features of these concepts and their interrelationships are linked to the conceptions of some rings. (Von Neumann) regular, left SF-ring, and left pp-ring rings are described via such concept. For instance, the homomorphic picture of every principally injective module be strongly principally self-injective if R being left pp-ring, and another example for a commutative ring R of every strongly principally self-injective module be flat if R being (Von Neumann) regular. Also, a ring R be (Von Neumann) regular if and only if each R-module being strongly principally self-injective module.
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