We define a new concept, called " generalized right -derivation", in near-ring and obtain new essential results in this field. Moreover we improve this paper with examples that show that the assumptions used are necessary.
this paper, we will prove the following theorem, Let R be a ring with 1 having
a reverse derivation d ≠ 0 such that, for each x R, either d(x) = 0 or d(x) is
invertible in R, then R must be one of the following: (i) a division ring D, (ii) D 2 ,
the ring of 2×2 matrices over D, (iii) D[x]/(x ) 2
where char D = 2, d (D) = 0 and
d(x) = 1 + ax for some a in the center Z of D. Furthermore, if 2R ≠ 0 then R = D 2 is
possible if and only if D does not contain all quadratic extensions of Z, the center of
D.
The main purpose of this paper is to study some results concerning reduced ring with another concepts as semiprime ring ,prime ring,essential ideal ,derivations and homomorphism ,we give some results a bout that.
In this paper, the structure of and have been introduced and studied. We also obtain that a is of a if and only if there exists an on such that . In addition, we obtain that of if and only if there is an on such that , where are subspaces of with eigenvalues 1 and −1, respectively. We also find t that the existence of on implies that there exists a compatible under appropriate condition.
Intervention in the criminal case requires examining the evidence examining the identity of the accused, and preparing him with all the necessary elements to issuing the verdict, and in view of the procedures that this research takes, which may extend for a long time, thinking has turned toward dealing with the criminal case without the criminal judiciary, and this call has escalated with the trend to give the victim an important role in
... Show MoreBack ground : Coronary artery diseases are not uncommon in the presence of right bundle branch block.
Aim : The aim of this study is to assess the findings of coronary angiography in patients with chest pain and right bundle branch block.
Methods : The study involved review of case sheets and coronary angiography of one hundred patients, who underwent coronary angiography due to chest pain suspected to have
coronary artery diseases (CAD) , fifty patients of them had right bundle branch block (RBBB) , the other fifty did not have RBBB , those 100 patients were presented to Ibin Al Bitar hospital
for cardiac surgery from January 2004 to June 2006. History, clinical examinations, electrocardiogram (ECG)
In this paper we study necessary and sufficient conditions for a reverse- centralizer of a semiprime ring R to be orthogonal. We also prove that a reverse- centralizer T of a semiprime ring R having a commuting generalized inverse is orthogonal
The purpose of this paper is to prove the following result: Let R be a 2-torsion free ring and T: R?R an additive mapping such that T is left (right) Jordan ?-centralizers on R. Then T is a left (right) ?-centralizer of R, if one of the following conditions hold (i) R is a semiprime ring has a commutator which is not a zero divisor . (ii) R is a non commutative prime ring . (iii) R is a commutative semiprime ring, where ? be surjective endomorphism of R . It is also proved that if T(x?y)=T(x)??(y)=?(x)?T(y) for all x, y ? R and ?-centralizers of R coincide under same condition and ?(Z(R)) = Z(R) .
Nilpotency of Centralizers in Prime Rings
In this paper we define and study new concepts of fibrewise topological spaces over B namely, fibrewise near compact and fibrewise locally near compact spaces, which are generalizations of well-known concepts near compact and locally near compact topological spaces. Moreover, we study relationships between fibrewise near compact (resp., fibrewise locally near compact) spaces and some fibrewise near separation axioms.