For the recently defined notion of strongly lifting modules, it has been shown that a direct sum is not, in general, strongly lifting. In this paper we investigate the question: When are the direct sums of strongly lifting modules, also strongly lift...

**Key Words:**

lifting modules, strongly lifting modules, coclosed submodules, hollow modules, relatively strongly projective modules

Let N be the set of nonnegative integers and

**Key Words:**

triangular algebra, Lie higher derivation, Lie triple higher derivation

The concepts of an Amitsur ring and a hereditary Amitsur ring, which were introduced and studied by S. Tumurbat in a recent paper, are generalized. For a positive integer n, a ring A is said to be an n-Amitsur ring if

**Key Words:**

Amitsur rings, hereditary Amitsur rings, radicals, radicals with the Amitsur property

Let ℤ n be the ring of integers modulo n and let ...

**Key Words:**

Γ(ℤ_{n}[X)⟧, diameter, girth, clique, chromatic number

We introduce the p-deformation of generalized Humbert polynomials. For these polynomials, we derive the differential equation, generating function relations, Fibonacci-type representations, and recurrence relations and state the companion matr...

**Key Words:**

*p*-Gamma function, *p*-Pochhammer symbol, differential equation, generating function relations, mixed relations

Smoking is one of the main causes of health problems and continues to be one of the world’s most significant health challenges. In this paper, we use the multi-step Adomian decomposition method (MSADM) to obtain approximate analytical solutions for...

**Key Words:**

fractional differential equations, multi-step Adomian decomposition method, smoking model, numerical analysis; mathematical fractional model

This paper primarily discusses and proves the Hyers–Ulam stability of three types of polynomial equations: x n

**Key Words:**

dislocated quasi-metric spaces, Hyers-Ulam stability, polynomial equations