The current paper studied the concept of right n-derivation satisfying certified conditions on semigroup ideals of near-rings and some related properties. Interesting results have been reached, the most prominent of which are the following: Let M be a 3-prime left near-ring and A_1,A_2,…,A_n are nonzero semigroup ideals of M, if d is a right n-derivation of M satisfies on of the following conditions,
d(u_1,u_2,…,(u_j,v_j ),…,u_n )=0 ∀ 〖 u〗_1 〖ϵA〗_1 ,u_2 〖ϵA〗_2,…,u_j,v_j ϵ A_j,…,〖u_n ϵA〗_u;
d((u_1,v_1 ),(u_2,v_2 ),…,(u_j,v_j ),…,(u_n,v_n ))=0 ∀u_1,v_1 〖ϵA〗_1,u_2,v_2 〖ϵA〗_2,…,u_j,v_j ϵ A_j,…,〖u_n,v_n ϵA〗_u ;
d((u_1,v_1 ),(u_2,v_2 ),…,(u_j,v_j ),…,(u_n,v_n ))=(u_j,v_j ) ∀ u_1,v_1 〖ϵA〗_1 ,u_2,v_2 〖ϵA〗_2,…,u_j,v_j ϵ A_j,…,〖u_n,v_n ϵA〗_u;
If d+d is an n -additive mapping from A_1×A_2×…×A_n to M;
d(u_1,u_2,…,(u_j,v_j ),…,u_n)∈ Z(M) ∀〖 u〗_1 〖ϵA〗_1 ,u_2 〖ϵA〗_2,…,u_j,v_j ϵ A_j,…,〖u_n ϵA〗_u,;
d((u_1,v_1 ),(u_2,v_2 ),…,(u_j,v_j ),…,(u_n,v_n ))∈ Z(M) ∀ u_1,v_1 〖ϵA〗_1 ,u_2,v_2 〖ϵA〗_2,…,u_j,v_j ϵ A_j,…,〖u_n,v_n ϵA〗_u;
Then M is a commutative ring.
A series of new 1,8-naphthalimides linked to azetidinone, thiazolidinone or tetrazole moieties were synthesized. N-ester-1,8-naphthalimide (1) was obtained by direct imidation of 1,8-naphthalic anhydride with ethylglycinate. Compound (1) was treated with hydrazine hydrate in absolute ethanol to give N-acetohydrazide-1,8-naphthalimide (2). The hydrazine derivative (2) was used to obtain new Schiff bases (3-7). Three routes with different reagents were used for the cyclization of the prepared Schiff bases. Fifteen cyclic Schiff bases (8-22) with four- and five-membered rings were obtained.
The structures of the newly synthesized compounds were identified by their FTIR, 1H-NMR, 13C-NMR spectral data and some physical properties. Furtherm
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 MoreIn this work, the notion of principally quasi- injective semimodule is introduced, discussing the conditions needed to get properties and characterizations similar or related to the case in modules.
Let be an -semimodule with endomorphism semiring Ș. The semimodule is called principally quasi-injective, if every -homomorphism from any cyclic subsemimodule of to can be extended to an endomorphism of .
In this paper, the nonclassical approach to dynamic programming for the optimal control problem via strongly continuous semigroup has been presented. The dual value function VD ( .,. ) of the problem is defined and characterized. We find that it satisfied the dual dynamic programming principle and dual Hamilton Jacobi –Bellman equation. Also, some properties of VD (. , .) have been studied, such as, various kinds of continuities and boundedness, these properties used to give a sufficient condition for optimality. A suitable verification theorem to find a dual optimal feedback control has been proved. Finally gives an example which illustrates the value of the theorem which deals with the sufficient condition for optimality.
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Background: Infertility is recognized as the incapability of infertile couples to become pregnant following one year of unsafe intercourse, with male factors accounting for roughly half of the documented instances. Several reasons for male infertility factors have been reported; however, the actual cause in the majority of cases remains unknown.
Objective: To study prospectively the outcome of N-acetylcysteine on semen parameters in males with oligoasthenoteratozoospermia.
Patient and methods: A total 45 patients with idiopathic oligoasthenoteratozoospermia have received N-acetyl cysteine (NAC) for 12 weeks, their seminal fluid parameters were measured at the baseline and a
... Show MoreThe idea of citizenship is one of the old political and legal ideas that have long occupied a wide area of thinking in most countries of the world because the right of citizenship is linked to the identity and cultural reference of human persons of different origins and ethnicities. Citizenship is the equality of citizens irrespective of religious, sectarian, tribal, ethnic, or sexual tinctures. Countries sought to enshrine this right through international conventions, affirmed through the constitutions, statutes, laws, and media of States, to increase the association of individuals affiliated with the State with their national identity and to grant these individuals all their rights under international conventions, constitutions, or dom
... Show MoreGod Almighty created Man and made him his successor on Earth. He honored him above all other creatures and granted him all means to protect his human dignity, yet to date some societies violate and breach that protection. We are still hearing of the persecution of blacks in the USA and murdering Muslims in foreign countries even though these groups are entitled to the right to human dignity. The right to human dignity is a sacred right that is guaranteed for all individuals regardless of their color, sex, race, religion or origin. The real problem we are facing is that many societies do not provide sufficient protection for this right and do not put penalties and punishment in case this right is violated. There are numerous forms of the
... Show MoreLet R be an associative ring. In this paper we present the definition of (s,t)- Strongly derivation pair and Jordan (s,t)- strongly derivation pair on a ring R, and study the relation between them. Also, we study prime rings, semiprime rings, and rings that have commutator left nonzero divisior with (s,t)- strongly derivation pair, to obtain a (s,t)- derivation. Where s,t: R®R are two mappings of R.