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Register a new userI -Semipotency and the Total of Modules
I - شبه الجمودية و توتال المودولات
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حمزة حاكمي( باحث )
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الهدف من هذا العمل هو دراسة التوتال hom (M,N) R بالنظر إليه كبنية جزئية من المودول وذلك لأجل أي مودولين R M and R N . أحد الأسئلة المطروحة هو متى يكون التوتال يساوي hom (N, J (N)) R , أي متى يكون حيث N هي حلقة التشاكلات للمودول.
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 .
References used
Cartan, H. and S. Eilenberg: (1956). Homological Algebra, Princeton Univ. Press
Hamza, H. (1998). - 0 I Rings and - 0 I Modules, Math. J. Okayama Univ. Vol. 40, p. 91-97
Hamza, H. (2011). On ( D-, Ñ-, I - ) semipotent and the total of rings and modules, Damascus University Journal for BASIC SCIENCE. Vol. 27, No 1, P. 9-34
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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.
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.
In this research, we study right (left) dual semipotent rings as right
(left) rings, and dual semipotent modules as modules.
Regular modules
الحلقة اليمينية (اليسارية) المرافقة لحلقة شبه جامدة
حلقة يمينية (يسارية)
المودول المرافق لمودول شبه جامد
حلقة يمينية (يسارية) رئيسية
right (left) dual semipotent rings
right (left) rings
dual semipotent modules
principal right (left) rings
retractable module
epi-retractable module
rickart modules
Injective module
المزيد..
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.
The paper shows the reasons for the institutional evaluation of the
international scientific periodicals. The evaluation factors, criteria, indicators
and quality have been discussed. The development, cease and requirements of
continuity, as well
as contemporary realities are also presented. With some
aspects of the characterization of the qualitative evaluation of journals such as
refereed, prestigious, and authoritative, and review the features of the
development of quantitative digital indicators of periodicals and its
classification, and in particular those supporting factors, to evaluate the
journals in terms of numbers, date of measurement, standards, tools, and
databases, and citation frequency and measurable indicators. Impact factor
and its measurable indicators such as the average impact factor, immediate
indexing, and half-life citation are studied.
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