In this paper we show the nilpotency of nilpotent derivation of simeprime Γ-ring with characteristic 2 must be a power of 2 and we show the nilpotency of a nilpotent derivation of simeprime Γ-ring is either odd or a power of 2 without torsion condition.
In this paper ,we introduce a concept of Max– module as follows: M is called a Max- module if ann N R is a maximal ideal of R, for each non– zero submodule N of M; In other words, M is a Max– module iff (0) is a *- submodule, where a proper submodule N of M is called a *- submodule if [ ] : N K R is a maximal ideal of R, for each submodule K contains N properly. In this paper, some properties and characterizations of max– modules and *- submodules are given. Also, various basic results a bout Max– modules are considered. Moreover, some relations between max- modules and other types of modules are considered.
... Show MoreBrucellosis is one of the five common bacterial zoonoses in the world caused by
organisms belonging to the genus Brucella. Immune recognition of bacterial
infection may contribute to cytokine, as well as antibody production that are
characteristic of innate and adaptive responses. In this study, the presence of
attenuated live Brucella melitenses Rev1 bacteria or its DNA induced the immune
system to produce IFN-γ and anti-ds DNA antibody. In respect to IFN-γ released,
the B. melitensis Rev 1 attenuated live vaccine was able to stimulate the immune
system more than the DNA (P≤0.05). Such finding could be attributed to the whole
attenuated bacteria that have immunogenic factors other than the DNA like cell wall<
Throughout this paper R represents commutative ring with identity and M is a unitary left R-module. The purpose of this paper is to investigate some new results (up to our knowledge) on the concept of weak essential submodules which introduced by Muna A. Ahmed, where a submodule N of an R-module M is called weak essential, if N ? P ? (0) for each nonzero semiprime submodule P of M. In this paper we rewrite this definition in another formula. Some new definitions are introduced and various properties of weak essential submodules are considered.
Throughout this paper R represents commutative ring with identity and M is a unitary left R-module. The purpose of this paper is to investigate some new results (up to our knowledge) on the concept of weak essential submodules which introduced by Muna A. Ahmed, where a submodule N of an R-module M is called weak essential, if N ? P ? (0) for each nonzero semiprime submodule P of M. In this paper we rewrite this definition in another formula. Some new definitions are introduced and various properties of weak essential submodules are considered.
Some authors studied modules with annihilator of every nonzero submodule is prime, primary or maximal. In this paper, we introduce and study annsemimaximal and coannsemimaximal modules, where an R-module M is called annsemimaximal (resp. coannsemimaximal) if annRN (resp. ) is semimaximal ideal of R for each nonzero submodule N of M.
Background: There is plenty of evidence
suggesting that involvement of several groups of
viruses in the development and / or acceleration of
Type 1 Diabetes Mellitus (T1DM).
Objective: To analyze the T- cell proliferation in
the presence of Coxsackie virus B5 (CVB5), Polio
and Adenovirus antigens in addition to assessment
of Interferon- gamma (IFN-γ), Interleukins (IL-10
and IL-6).
Methods: In 60 Iraqi T1DM children with recent
onset of T1DM, Lymphocyte proliferation was
analyzed using Methylthiazol tetrazolium (MTT)
assay by culturing Peripheral Blood Lymphocytes
(PBLs) with Coxsackie Virus B5 (CVB5),
Adenovirus, and Polio vaccine. Serum Interferon-γ,
IL-10 and IL-6 were quantified by sandw
In this paper, we introduced some new definitions on P-compact topological ring and PL-compact topological ring for the compactification in topological space and rings, we obtain some results related to P-compact and P-L compact topological ring.
This research sheds light on the morphological construction of kitchen terms in Hebrew language, especially methods of derivation, by offering an extensive review of the most important methods of morphological derivation. The field of kitchen terms is a fertile and rich field, where we see daily production of new kitchen tools which require suitable names with specific meanings. Morphologically, the research interested in methods of morphological derivation. So as to know and identify the common and effective methods to derive the kitchen terms in Hebrew language, in addition to put a special glossary of these terms. The research found that most of the kitchen terms were derived according to the methods of derivation prevailing in Hebrew la
... Show MoreThe main purpose of this paper is to show that zero symmetric prime near-rings, satisfying certain identities on n-derivations, are commutative rings.
(1)
Let R be a commutative ring with identity, and let M be a unity R-module. M is called a bounded R-module provided that there exists an element x?M such that annR(M) = annR(x). As a generalization of this concept, a concept of semi-bounded module has been introduced as follows: M is called a semi-bounded if there exists an element x?M such that . In this paper, some properties and characterizations of semi-bounded modules are given. Also, various basic results about semi-bounded modules are considered. Moreover, some relations between semi-bounded modules and other types of modules are considered.