Altunbaş, Murat

In this paper, we give some characterizations about biharmonic, f-harmonic, and f-biharmonic (p, q)-curves in 3-dimensional trans-Sasakian and normal almost paracontact metric manifolds. The (p, q)-curves are considered as generalizations of magnetic curves.

Üregen, Rabia Nagehan

This paper explores the concept of ϕ-pseudo 2-prime ideals within the framework of commutative rings. Let R be a commutative ring having a nonzero identity and ϕ : L(R)⟶L(R) ∪ {∅} be a function, where L(R) is the lattice of all ideals of R. A proper ideal I of R is said to be a ϕ-pseudo 2-prime ideal if whenever ab ∈ I − ϕ(I) for some a, b ∈ R, then a2n ∈ In or b2n ∈ In for some (Formula presented.) In addition to giving various properties and examples related to ϕ-pseudo 2-prime ideals, the characterization of some important ring structures such as von Neumann regular rings is given in terms of our new concept.

Erişir, Tülay

Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. The motivation for this study is to define a new and particular sequence. An essential feature of this sequence is that while a generalization is being made, spinors, which have a lot of use in physics, are used. This new sequence defined using spinor representations is called the Horadam spinor sequence; formulas such as the Binet formula, generating function formula, and Cassini formula are given. The Horadam spinors given in this study are a generalization of the spinor representations of Horadam quaternion sequences.