أعضاء هيئة التدريس - جامعة بنها
Absolutely Pure Semimodules
International Journal of Algebra • 2012
معلومات البحث
المؤلفون
M. Zayed; A. Y. Abdelwanis3
الكلمات المفتاحية
absolutely pure semimodule, f-injective semimodule, Field-
house regular semimodule
المجلة العلمية
International Journal of Algebra
الناشر
Not Available
المجلد
6
العدد
Not Available
الصفحات
Not Available
publication.type
International
رابط البحث
Not Available
المواد المرفقة
Not Available
الملخص
In the present paper, a semimodule M over a semiring R is
called absolutely pure if it is pure in every semimodule containing it as a
subsemimodule. Some well-known properties of absolutely pure modules are
extended to semimodules. We introduce and study two particular subclasses
of absolutely pure semimodules, namely strongly absolutely pure (SAP) and
nitely injective (f -injective) semimodules. When the semiring R is additively
idempotent ,the SAP R
called absolutely pure if it is pure in every semimodule containing it as a
subsemimodule. Some well-known properties of absolutely pure modules are
extended to semimodules. We introduce and study two particular subclasses
of absolutely pure semimodules, namely strongly absolutely pure (SAP) and
nitely injective (f -injective) semimodules. When the semiring R is additively
idempotent ,the SAP R