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Register a new userDual semipotent rings and modules
الحلقات و المودولات المرافقة للحلقات والمودولات شبه الجامدة
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نقوم في عملنا بدراسة الحلقات اليمينية (اليسارية) المرافقة للحلقات شبه الجامدة تحت المسمى - حلقة يمينية (يسارية), و دراسة المودولات المرافقة للمودولات شبه الجامدة تحت المسمى - مودول.
In this research, we study right (left) dual semipotent rings as right (left) rings, and dual semipotent modules as modules.
References used
Abyzov A. N. " 0 I Modules", Mat. Zametki, No: 8, (2014), 1 – 17
Anderson F. W. & Fuller K. R. "Rings and categories of modules ", New York. Springer 1973
Amini B. and Ershad M., "Coretractable Modules", J. Aust. Math. Soc. 86, (2009), 289 – 304
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Let M and N be two modules over a ring R. The object of this paper is the study
of substructures of hom (M, N) R such as, radical, the singular, and co-singular
ideal and the total. The new obtained results include necessary and sufficient
conditi
ons the total of a ring R to equal some ideal of R.
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.
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.
The object of this paper is to study the total as substructure of hom (M,N) R
for any two modules R M and R N , one of interesting question, is when the total
of a module N equals the hom (N, J (N)) R .
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.
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