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 Author:
 Hoque, Azizul; Saikia, Helen K.
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 399402
 ISSN:
 16583655
 Subject:
 mathematical theory
 Abstract:
 ... In this paper our attempt is to investigate the class number problem of imaginary quadratic fields. We establish that the class number of imaginary quadratic field ℚ(−q), for certain positive integer q, is a multiple of 3. We also show that there are infinitely many imaginary quadratic fields whose class numbers are multiples of 3. ...
 DOI:
 10.1016/j.jtusci.2014.11.012

https://dx.doi.org/10.1016/j.jtusci.2014.11.012
 Author:
 Mahdou, Najib; Moutui, Moutu Abdou Salam
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 373379
 ISSN:
 16583655
 Subject:
 algebra
 Abstract:
 ... Let f:A→B be a ring homomorphism and J be an ideal of B. In this paper, we investigate the transfer of Gaussian property to the amalgamation of A with B along J with respect to f (denoted by A⋈fJ), introduced and studied by D’Anna, Finocchiaro and Fontana in 2009. ...
 DOI:
 10.1016/j.jtusci.2015.02.022

https://dx.doi.org/10.1016/j.jtusci.2015.02.022
 Author:
 Samman, M.; Oukhtite, L.; Boua, A.
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 407413
 ISSN:
 16583655
 Subject:
 algebra
 Abstract:
 ... In the present paper it is shown that 3prime left nearrings satisfying certain identities involving generalized derivations are commutative rings. Moreover, examples proving the necessity of the 3primeness hypothesis in various theorems are given. ...
 DOI:
 10.1016/j.jtusci.2015.02.017

https://dx.doi.org/10.1016/j.jtusci.2015.02.017
 Author:
 Raji, A.; Oukhtite, L.; Boua, A.; Ait Zemzami, O.
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 308313
 ISSN:
 16583655
 Subject:
 algorithms
 Abstract:
 ... In this paper, we explore the planar nearrings to build BIBDs (Balanced Incomplete Block Designs) which is an important tool in the field of the theory of errorcorrecting code. Our purpose is to supply a program which determines BIBDs and their incidence matrices from a finite field, what gives us the possibility of choosing the best BIBD among the BIBDs obtained according to the values of its p ...
 DOI:
 10.1016/j.jtusci.2014.12.011

https://dx.doi.org/10.1016/j.jtusci.2014.12.011
 Author:
 Zeriouh, Mostafa; Ziane, M’hammed; Abdelalim, Seddik; Essanouni, Hassane
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 357360
 ISSN:
 16583655
 Subject:
 mathematics
 Abstract:
 ... In this paper, we show that if an automorphism α of an abelian torsion group, which is in fact a direct sum of its pcomponents, has the weak extension property then α=πidAp+ρ, where p is a prime number, π is an invertible padic number and ρ∈Hom(Ap,Ap1) with Ap1 is the first Ulm subgroup of the pcomponent Ap of A. ...
 DOI:
 10.1016/j.jtusci.2015.02.009

https://dx.doi.org/10.1016/j.jtusci.2015.02.009
 Author:
 Oukhtite, L.; Mamouni, A.
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 314319
 ISSN:
 16583655
 Subject:
 algebra
 Abstract:
 ... Let R be a 2torsion free prime ring, J a nonzero Jordan ideal of R and F be a generalized derivation associated with a nonzero derivation d. If F satisfies any one of the following conditions: (i) F(xy)−xy∈Z(R); (ii) F(xy)−yx∈Z(R); (iii) F(x)F(y)−xy∈Z(R); (iv) F(x)F(y)−yx∈Z(R) for all x, y∈J, then R is commutative. ...
 DOI:
 10.1016/j.jtusci.2015.02.004

https://dx.doi.org/10.1016/j.jtusci.2015.02.004
 Author:
 Tadmori, Abdelhamid; Chillali, Abdelhakim; Ziane, M’hammed
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 326331
 ISSN:
 16583655
 Subject:
 algebra
 Abstract:
 ... In this work, we are going to study the elliptic curves over the ring A3=(F2d[X])/(X3), precisely we will establish the short exact sequence which is split, and we will define the group extension Ea,b(A3) of Ea0,b0(F2d) by Ker(π3) which seems to be beneficial and interesting in ECC. ...
 DOI:
 10.1016/j.jtusci.2015.02.005

https://dx.doi.org/10.1016/j.jtusci.2015.02.005
 Author:
 Hassib, Moulay Hachem; Chillali, Abdelhakim; Elomary, Mohamed Abdou
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 276287
 ISSN:
 16583655
 Subject:
 equations
 Abstract:
 ... This paper proposes the generalization of our previous work to the ring An=F3d[X]/(Xn). All results found before in A2, A3 and A4[1–3] hold in An; but the approach here is clearly different, and has given more interesting results, specially when 3 does not divide #Ea0,b01; the elliptic curve over the ring An is a direct sum of the elliptic curve over the field F3d and, unexpectedly its own subgrou ...
 DOI:
 10.1016/j.jtusci.2015.02.001

https://dx.doi.org/10.1016/j.jtusci.2015.02.001
 Author:
 Ismaili, Karima Alaoui; Mahdou, Najib
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 332339
 ISSN:
 16583655
 Subject:
 algebra; new family
 Abstract:
 ... Let f:A→B be a ring homomorphism, J be an ideal of B. In this paper, we investigate the finite conductor property that the amalgamation A⋈fJ might inherit from the ring A for some classes of ideals J and homomorphisms f. Our results generate original examples which enrich the current literature with new families of examples of noncoherent finite conductor rings. ...
 DOI:
 10.1016/j.jtusci.2015.02.006

https://dx.doi.org/10.1016/j.jtusci.2015.02.006
 Author:
 Couchot, François
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 288297
 ISSN:
 16583655
 Subject:
 arithmetics; topology
 Abstract:
 ... It is shown that a ring is left semihereditary if and only each homomorphic image of its injective hull as left module is FPinjective. It is also proven that a commutative ring R is reduced and arithmetical if and only if E/U if FPinjective for any FPinjective Rmodule E and for any submodule U of finite Goldie dimension. A characterization of commutative rings for which each module of finite G ...
 DOI:
 10.1016/j.jtusci.2015.02.002

https://dx.doi.org/10.1016/j.jtusci.2015.02.002
 Author:
 Oukhtite, L.; Raji, A.
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 366372
 ISSN:
 16583655
 Subject:
 algebra
 Abstract:
 ... In this paper we investigate 3prime nearrings with generalized two sided αderivations satisfying certain differential identities. Consequently, some well known results have been generalized. Moreover, an example proving the necessity of the 3primeness hypothesis is given. ...
 DOI:
 10.1016/j.jtusci.2015.02.021

https://dx.doi.org/10.1016/j.jtusci.2015.02.021
 Author:
 ElMarouf, S.A.A.; AlMahdi, A.M.; Bahaa, G.M.
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 381398
 ISSN:
 16583655
 Subject:
 activated sludge; bioreactors; dynamic models; equations; periodicity
 Abstract:
 ... A dynamical model of an activated sludge process is considered. A mathematical analysis of the model equations with general rate functions is given. The dissipativity, boundedness, invariance of nonnegativity, persistence, stability, bifurcation and periodicity of solutions are discussed. It was also shown that the rate functions have no influence for stability in the special case disinfected fee ...
 DOI:
 10.1016/j.jtusci.2014.07.004

https://dx.doi.org/10.1016/j.jtusci.2014.07.004
 Author:
 Louartiti, Khalid; Tamekkante, Mohammed
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 361365
 ISSN:
 16583655
 Subject:
 algebra
 Abstract:
 ... Let f:A→B and g:A→C be two ring homomorphisms and let J and J′ be two ideals of B and C, respectively, such that f−1(J)=g−1(J′). The biamalgamation of A with (B, C) along (J, J′) with respect to (f, g) is the subring of B×C given byA⋈f,g(J,J′)={(f(a)+j,g(a)+j′)∣a∈A,(j,j′)∈J×J′}The aim of this paper is to characterize the global dimension of biamalgamated algebras over pure ideals. ...
 DOI:
 10.1016/j.jtusci.2014.10.007

https://dx.doi.org/10.1016/j.jtusci.2014.10.007
 Author:
 Mahdou, Najib; Zennayi, Mohammed
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 320325
 ISSN:
 16583655
 Subject:
 algebra; mathematical theory
 Abstract:
 ... In this paper, we investigate the transfer of notion of adequate rings to trivial ring extensions and pullbacks. Our aim is to give new classes of commutative rings satisfying this property. ...
 DOI:
 10.1016/j.jtusci.2015.01.006

https://dx.doi.org/10.1016/j.jtusci.2015.01.006
 Author:
 Azizi, A.; Zekhnini, A.; Taous, M.
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 346350
 ISSN:
 16583655
 Subject:
 algebra
 Abstract:
 ... Let G be some metabelian 2group satisfying the condition G/G′≃ℤ/2ℤ×ℤ/2ℤ×ℤ/2ℤ. In this paper, we construct all the subgroups of G of index 2 or 4, we give the abelianization types of these subgroups and we compute the kernel of the transfer map. Then we apply these results to study the capitulation problem of the 2ideal classes of some fields k satisfying the condition Gal(k2(2)/k)≃G, where k2(2) ...
 DOI:
 10.1016/j.jtusci.2015.01.007

https://dx.doi.org/10.1016/j.jtusci.2015.01.007
 Author:
 Mahdou, Najib; Mouanis, Hakima
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 340345
 ISSN:
 16583655
 Subject:
 algebra
 Abstract:
 ... In this paper, we investigate the transfer of Steinitz, semiSteinitz, and weakly semiSteinitz properties from a commutative ring to its subring retracts and fixed rings. ...
 DOI:
 10.1016/j.jtusci.2015.02.007

https://dx.doi.org/10.1016/j.jtusci.2015.02.007
 Author:
 Chellali, Mustapha
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 351356
 ISSN:
 16583655
 Subject:
 mathematics
 Abstract:
 ... Let K be a field and P∈K[X] is a polynomial of degree n, then the conjecture of CasasAlvero states that if P is not prime with each of its n−1 first derivatives, then it is a monomial, i.e., of the form c(X−r)n. We consider the case where K=ℝ and P is split over ℝ, where we show that the number un of hypothetical counterexamples of degree n satisfies (n−4)!≤un≤c(n−3)n−2, where c=2e−1(∏n=2∞e−1(∑k= ...
 DOI:
 10.1016/j.jtusci.2015.02.008

https://dx.doi.org/10.1016/j.jtusci.2015.02.008
 Author:
 Bamerni, Nareen; Kılıçman, Adem
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 414419
 ISSN:
 16583655
 Subject:
 mathematics
 Abstract:
 ... In this paper, we prove that if T is a diskcyclic operator then the closed unit disk multiplied by the union of the numerical range of all iterations of T is dense in H. Also, if T is a diskcyclic operator and λ≤1, then T−λI has dense range. Moreover, we prove that if α>1, then 1αT is hypercyclic in a separable Hilbert space H if and only if T⊕αIℂ is diskcyclic in H⊕ℂ. We show at least in some c ...
 DOI:
 10.1016/j.jtusci.2015.02.020

https://dx.doi.org/10.1016/j.jtusci.2015.02.020
 Author:
 Jaraden, J.J.; Mamouni, A.
 Source:
 Journal of Taibah University for Science 2015 v.9 no.3 pp. 403406
 ISSN:
 16583655
 Subject:
 algebra
 Abstract:
 ... Our aim in this paper is to prove some properties of semiderivations centralizing on Jordan ideals of rings with involution. Some well known results characterizing commutativity of prime rings by derivations have been generalized by using semiderivations. Moreover, we provide examples to show that our hypotheses are not superfluous. ...
 DOI:
 10.1016/j.jtusci.2015.02.012

https://dx.doi.org/10.1016/j.jtusci.2015.02.012