Altunbaş, Murat

Let (H3, g1) and (H3, g2) be the Lorentzian-Heisenberg spaces with nonflat metrics g1 and g2, and (TH3, gs 1), (TH3, gs 2) be their tangent bundles with the Sasaki metric, respectively. In the present paper, we find nontotally geodesic distributions in tangent bundles by using lifts of contact forms from the base manifold H3.We give examples for totally geodesic but not isocline distributions. We study the geodesics of tangent bundles by considering horizontal and natural lifts of geodesics of the base manifold H3. We also investigate more general classes of geodesics which are not obtained from horizontal and natural lifts of geodesics.

Özdİn, Tufan; Gümüşel, Günseli

In this paper, we characterize the idempotency, cleanness, and unit-regularity of the commutator [E1,E2] = E1E2 − E2E1 involving idempotents E1,E2 in certain subrings of M2(Z).

Durmaz, Muhammet Enes; Amiraliyev, Gabil M.; Kudu, Mustafa

In this paper, we deal with singularly perturbed Fredholm integro differential equation (SPFIDE) with mixed boundary conditions. By using interpolating quadrature rules and exponential basis function, fitted second order difference scheme has been constructed on a Shishkin mesh. The stability and convergence of the difference scheme have been analyzed in the discrete maximum norm. Some numerical examples have been solved and numerical outcomes are obtained.

Özdın, Tufan

The element q of a ring R is called quasi-idempotent element if q2 = uq for some central unit u of R, or equivalently q = ue, where u is a central unit and e is an idempotent of R. In this paper, we define that the ring R is almost quasi-clean if each element of R is the sum of a regular element and a quasi-idempotent element. Several properties of almost-quasi clean rings are investigated. We prove that every quasi-continuous and nonsingular ring is almost quasi-clean. Finally, it is determined that the conditions under which the idealization of an R-module M is almost quasi clean.

Uregen, Rabia Nagehan

Let R be a commutative ring with nonzero identity and I a proper ideal of R: Then I is called a uniformly pr -ideal if there exists N ∈ ℕ such that ab ∈ I with ann(a) = 0 then bN ∈ I: We say that the smallest N ∈ ℕ is called order of I and denoted by ordR(I) = N. In this paper, we give some examples and characterizations of this new class of ideals.

Raza, Mohsan; Yağmur, Nihat

The aim of this paper is to define a new operator by using the generalized Struve functions. By using this operator we define a subclass of analytic functions. We discuss some properties of this class such as inclusion problems, radius problems, and some other interesting properties related to this operator.

Irmak, Hüseyin; Çetin, Ömer Faruk

In this paper, some theorems involving inequalities on p-valent functions (that is p-valenty close-to-convex functions, p-valently starlike functions, and p-valently convex functions) are given. Moreover, some applications in the theorems which are important for geometric function theory are also included.