الهدف من هذا البحث هو دراسة حلقات التشاكل للمودولات الإسقاطية المحليـة و الأفقيـة المحليـة.
بشكل خاص، تعد هذه الورقة متابعة لدراسة حلقات التشاكل للمودولات الإسقاطية و الأفقية المحلية لكـي
تكون هذه الحلقات شبه جامدة.
The object of this paper is to study the endomorphism rings of locally
projective and locally injective modules. Specifically, this paper is a continuation
of study of endomorphism rings of locally projective and locally injective modules
to be semipotent rings.
References used
H. Hamza. (1998). − 0 I Rings and − 0 I Modules, Math. J. Okayama Univ. Vol. 40, p.91-97
F. Kasch. (1982). Moduln mit LE-Zerlegung und harada-Moduln, Lecture Notes University of Munich
F. Kasch. (1982). Modules and Rings, Academic press London and New York
The object of this paper is to study the locally projective and locally injective
modules. Specifically, this paper is a continuation of study of locally projective
and locally injective modules, where a new description of locally projective and
locally injective modules is obtained.
This study has been conducted to identify the levels of heavy
metals (lead, cadmium, nickel, cobalt, copper, iron, manganese, and
zinc) in the following spices: Nutmeg, turmeric, cinnamon, ginger,
cardamom, nigella sativa, black pepper, cumin, coriander, curry,
and mixed spices.
Thirty strains of lactic acid bacteria were isolated from different local
fermented foods. Isolates were identified by using morphological, cultural and
biochemical tests using the API 50-CHL and API 20 Strep systems. Preliminary
characterization
In this research, we study right (left) dual semipotent rings as right
(left) rings, and dual semipotent modules as modules.
The concept of hereditary and semi-hereditary rings and
modules has grate effect in Theory of rings and modules, because
the relation between this concepts with Baer and Rickart rings and
modules.
For this reason, we generalize this concept by quasihereditary
rings.